513313125 has 40 divisors (see below), whose sum is σ = 921080160. Its totient is φ = 252696000.

The previous prime is 513313093. The next prime is 513313183. The reversal of 513313125 is 521313315.

It is not a de Polignac number, because 513313125 - 2⁵ = 513313093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513313095 and 513313104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13846 + ... + 34904.

It is an arithmetic number, because the mean of its divisors is an integer number (23027004).

Almost surely, 2^513313125 is an apocalyptic number.

It is an amenable number.

513313125 is a deficient number, since it is larger than the sum of its proper divisors (407767035).

513313125 is a wasteful number, since it uses less digits than its factorization.

513313125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21095 (or 21080 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 513313125 is about 22656.4146545741. The cubic root of 513313125 is about 800.6833354205.

The spelling of 513313125 in words is "five hundred thirteen million, three hundred thirteen thousand, one hundred twenty-five".