657513203116 has 48 divisors (see below), whose sum is σ = 1443375440640. Its totient is φ = 254602336320.

The previous prime is 657513203027. The next prime is 657513203153. The reversal of 657513203116 is 611302315756.

657513203116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×657513203116² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6498211 + ... + 6598618.

It is an arithmetic number, because the mean of its divisors is an integer number (30070321680).

Almost surely, 2^657513203116 is an apocalyptic number.

It is an amenable number.

657513203116 is an abundant number, since it is smaller than the sum of its proper divisors (785862237524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

657513203116 is a wasteful number, since it uses less digits than its factorization.

657513203116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097014 (or 13097012 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 657513203116 in words is "six hundred fifty-seven billion, five hundred thirteen million, two hundred three thousand, one hundred sixteen".