315621126513 has 48 divisors (see below), whose sum is σ = 568471228416. Its totient is φ = 163935969120.

The previous prime is 315621126497. The next prime is 315621126517.

315621126513 is a `hidden beast` number, since 3 + 1 + 5 + 621 + 1 + 26 + 5 + 1 + 3 = 666.

315621126513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315621126513 - 2⁴ = 315621126497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315621126517) 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, 5617920 + ... + 5673822.

It is an arithmetic number, because the mean of its divisors is an integer number (11843150592).

Almost surely, 2^315621126513 is an apocalyptic number.

315621126513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315621126513 is a deficient number, since it is larger than the sum of its proper divisors (252850101903).

315621126513 is a wasteful number, since it uses less digits than its factorization.

315621126513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64074 (or 64071 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 315621126513 in words is "three hundred fifteen billion, six hundred twenty-one million, one hundred twenty-six thousand, five hundred thirteen".