513507 has 4 divisors (see below), whose sum is σ = 684680. Its totient is φ = 342336.

The previous prime is 513481. The next prime is 513509. The reversal of 513507 is 705315.

It is a happy number.

513507 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a de Polignac number, because none of the positive numbers 2^k-513507 is a prime.

It is a super-3 number, since 3×513507³ = 406219118333204529, which contains 333 as substring.

It is a D-number.

It is a Duffinian number.

513507 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (513509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85582 + ... + 85587.

It is an arithmetic number, because the mean of its divisors is an integer number (171170).

2⁵¹³⁵⁰⁷ is an apocalyptic number.

513507 is a deficient number, since it is larger than the sum of its proper divisors (171173).

513507 is a wasteful number, since it uses less digits than its factorization.

513507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171172.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 513507 is about 716.5940273265. The cubic root of 513507 is about 80.0784127013.

The spelling of 513507 in words is "five hundred thirteen thousand, five hundred seven".