312523565325213 has 48 divisors (see below), whose sum is σ = 482596757128640. Its totient is φ = 179265656528640.

The previous prime is 312523565325187. The next prime is 312523565325221.

It is a happy number.

312523565325213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312523565325213 - 2³⁶ = 312454845848477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312523565325613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14808106 + ... + 29057307.

Almost surely, 2^{312523565325213} is an apocalyptic number.

312523565325213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312523565325213 is a deficient number, since it is larger than the sum of its proper divisors (170073191803427).

312523565325213 is a wasteful number, since it uses less digits than its factorization.

312523565325213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43866490 (or 43866479 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The spelling of 312523565325213 in words is "three hundred twelve trillion, five hundred twenty-three billion, five hundred sixty-five million, three hundred twenty-five thousand, two hundred thirteen".