100513520025504 has 96 divisors (see below), whose sum is σ = 264491691871680. Its totient is φ = 33422794309632.

The previous prime is 100513520025473. The next prime is 100513520025563. The reversal of 100513520025504 is 405520025315001.

It is a tau number, because it is divible by the number of its divisors (96).

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, 236626234 + ... + 237050630.

It is an arithmetic number, because the mean of its divisors is an integer number (2755121790330).

Almost surely, 2^{100513520025504} is an apocalyptic number.

It is an amenable number.

100513520025504 is an abundant number, since it is smaller than the sum of its proper divisors (163978171846176).

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

100513520025504 is a wasteful number, since it uses less digits than its factorization.

100513520025504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430422 (or 430414 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 100513520025504 in words is "one hundred trillion, five hundred thirteen billion, five hundred twenty million, twenty-five thousand, five hundred four".