Properties of the Number 513

Five Hundred Thirteen

Basics

Value: 512 → 513 → 514

Parity: odd

Prime: No

Previous Prime: 509

Next Prime: 521

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19

Divisors: 1, 3, 9, 19, 27, 57, 171, 513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000001

Octal: 1001

Duodecimal: 369

Hexadecimal: 201

Square: 263169

Square Root: 22.64950330581225

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = 2ⁿ + 1. A51

Unary-encoded compressed factorization of natural numbers. A156552

If n = p_i^e_i * ... * p_k^e_k, p_i < ... < p_k primes (with p_i = prime(i)), then a(n) = (1/2) * (e_i * 2ⁱ + ... + e_k * 2^k). A48675

Binary palindromes: numbers whose binary expansion is palindromic. A6995

Numbers that are the sum of 2 positive cubes. A3325

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

Antisigma(n): Sum of the numbers less than n that do not divide n. A24816

Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w² + x·y = 0. A211422

a(n) = 2·n² + 1. A58331

Number of partitions of n in which no parts are multiples of 3. A726