513525315 has 16 divisors (see below), whose sum is σ = 823172256. Its totient is φ = 273369600.

The previous prime is 513525281. The next prime is 513525361.

513525315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513525315 - 2²⁰ = 512476739 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23526 + ... + 39755.

It is an arithmetic number, because the mean of its divisors is an integer number (51448266).

Almost surely, 2^513525315 is an apocalyptic number.

513525315 is a deficient number, since it is larger than the sum of its proper divisors (309646941).

513525315 is a wasteful number, since it uses less digits than its factorization.

513525315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63830.

The product of its digits is 11250, while the sum is 30.

The square root of 513525315 is about 22661.0969505009. The cubic root of 513525315 is about 800.7936472904.

The spelling of 513525315 in words is "five hundred thirteen million, five hundred twenty-five thousand, three hundred fifteen".