315261513565641 has 16 divisors (see below), whose sum is σ = 471869084836800. Its totient is φ = 208007596577664.

The previous prime is 315261513565573. The next prime is 315261513565703. The reversal of 315261513565641 is 146565315162513.

315261513565641 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 6 + 1 + 5 + 13 + 565 + 64 + 1 = 666.

It is not a de Polignac number, because 315261513565641 - 2²⁵ = 315261480011209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315261503565641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60187380651 + ... + 60187385888.

It is an arithmetic number, because the mean of its divisors is an integer number (29491817802300).

Almost surely, 2^{315261513565641} is an apocalyptic number.

It is an amenable number.

315261513565641 is a deficient number, since it is larger than the sum of its proper divisors (156607571271159).

315261513565641 is a wasteful number, since it uses less digits than its factorization.

315261513565641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120374766645 (or 120374766639 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 315261513565641 in words is "three hundred fifteen trillion, two hundred sixty-one billion, five hundred thirteen million, five hundred sixty-five thousand, six hundred forty-one".