315715517513 has 24 divisors (see below), whose sum is σ = 365699855808. Its totient is φ = 271816820000.

The previous prime is 315715517489. The next prime is 315715517543.

315715517513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315715517513 - 2²⁴ = 315698740297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315715517543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280523 + ... + 842688.

It is an arithmetic number, because the mean of its divisors is an integer number (15237493992).

Almost surely, 2^315715517513 is an apocalyptic number.

It is an amenable number.

315715517513 is a deficient number, since it is larger than the sum of its proper divisors (49984338295).

315715517513 is a wasteful number, since it uses less digits than its factorization.

315715517513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123357 (or 1123346 counting only the distinct ones).

The product of its digits is 275625, while the sum is 44.

The spelling of 315715517513 in words is "three hundred fifteen billion, seven hundred fifteen million, five hundred seventeen thousand, five hundred thirteen".