513
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 800
- Proper Divisor Sum (Aliquot Sum)
- 287
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 324
- Möbius Function
- 0
- Radical
- 57
- Omega Function (Ω)
- 4
- 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
- 35
- Smith 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
Names
- German
- fünfhundertdreizehn· ordinal: fünfhundertdreizehnste
- English
- five hundred thirteen· ordinal: five hundred thirteenth
- Spanish
- quinientos trece· ordinal: 513º
- French
- cinq cent treize· ordinal: cinq cent treizième
- Italian
- cinquecentotredici· ordinal: 513º
- Latin
- quingenti tredecim· ordinal: 513.
- Portuguese
- quinhentos e treze· ordinal: 513º
Appears in sequences
- a(n) = 2^n + 1.at n=9A000051
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=21A000702
- Number of partitions of n in which no parts are multiples of 3.at n=25A000726
- Boustrophedon transform of Catalan numbers 1, 1, 1, 2, 5, 14, ...at n=6A000736
- Number of compositions of n into 3 ordered relatively prime parts.at n=37A000741
- a(n) = n^3 + 1.at n=9A001093
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=54A001840
- Numbers that are the sum of 2 positive cubes.at n=26A003325
- Numbers which are the sum of 3 nonzero 4th powers.at n=16A003337
- Numbers that are the sum of 9 positive 6th powers.at n=8A003365
- Numbers that are the sum of 5 positive 7th powers.at n=4A003372
- Numbers that are the sum of 3 nonzero 8th powers.at n=2A003381
- Numbers that are the sum of 2 positive 9th powers.at n=1A003391
- Divisors of 2^18 - 1.at n=16A003528
- Divisors of 2^36 - 1.at n=44A003543
- Numbers of the form 2^j + 3^k, for j and k >= 0.at n=49A004050
- a(n) = round(100*log_2(n)).at n=34A004263
- a(n) = ceiling(100*log_2(n)).at n=34A004264
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=31A004832
- Numbers that are the sum of at most 4 nonzero 4th powers.at n=55A004833