315752767257513 has 16 divisors (see below), whose sum is σ = 424946567022336. Its totient is φ = 208530482679120.

The previous prime is 315752767257503. The next prime is 315752767257517.

315752767257513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315752767257513 - 2¹⁴ = 315752767241129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315752767257517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7013358 + ... + 26090088.

It is an arithmetic number, because the mean of its divisors is an integer number (26559160438896).

Almost surely, 2^{315752767257513} is an apocalyptic number.

It is an amenable number.

315752767257513 is a deficient number, since it is larger than the sum of its proper divisors (109193799764823).

315752767257513 is a wasteful number, since it uses less digits than its factorization.

315752767257513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128404.

The product of its digits is 324135000, while the sum is 66.

The spelling of 315752767257513 in words is "three hundred fifteen trillion, seven hundred fifty-two billion, seven hundred sixty-seven million, two hundred fifty-seven thousand, five hundred thirteen".