11511
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16640
- Proper Divisor Sum (Aliquot Sum)
- 5129
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7668
- Möbius Function
- 0
- Radical
- 3837
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Octal palindromes which are also primes.at n=19A006341
- Base 10 palindromes that start with 1.at n=37A043036
- Numbers having four 1's in base 10.at n=24A043496
- Palindromic and divisible by 9.at n=24A045644
- Number of reversible string structures with n beads using exactly six different colors.at n=9A056330
- Number of primitive (aperiodic) reversible string structures with n beads using exactly six different colors.at n=9A056340
- Partition the nonnegative integers into minimal groups whose sums are palindromes; this sequence gives the sums.at n=44A072482
- Interprimes which are of the form s*prime, s=9.at n=35A075284
- Palindromic odd numbers with exactly 3 prime factors (counted with multiplicity).at n=35A075814
- Palindromic odd composite numbers with an odd number of prime factors (counted with multiplicity).at n=38A075815
- Palindromic numbers with prime middle digit.at n=46A076609
- Palindromes whose product of digits is a positive palindrome.at n=35A082207
- Palindromes divisible by their digit sum.at n=36A082232
- Triangle whose n-th row contains n smallest palindromes with a digit sum of n.at n=42A082264
- Palindromic time display in hours, minutes, seconds on a six spaced 24-hour digital clock, using hours 1-24.at n=15A082567
- Palindromes in A083114.at n=32A083115
- a(1) = 2; then smallest palindrome > 1 not occurring earlier such that every partial concatenation is a prime.at n=37A088086
- Decimal Goedelization of antitheorems from propositional calculus, in Richard C. Schroeppel's metatheory of A101273.at n=10A100200
- a(1) = 1, then the rearrangement of odd palindromes such that every concatenation is a prime for n > 1.at n=35A113578
- Palindromes for which the product of the digits is prime.at n=10A117058