51531964148352 has 64 divisors (see below), whose sum is σ = 137495599637760. Its totient is φ = 17100293007360.

The previous prime is 51531964148317. The next prime is 51531964148363. The reversal of 51531964148352 is 25384146913515.

It is a happy number.

51531964148352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 51531964148292 and 51531964148301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 300806349 + ... + 300977612.

It is an arithmetic number, because the mean of its divisors is an integer number (2148368744340).

Almost surely, 2^{51531964148352} is an apocalyptic number.

It is an amenable number.

51531964148352 is an abundant number, since it is smaller than the sum of its proper divisors (85963635489408).

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

51531964148352 is a wasteful number, since it uses less digits than its factorization.

51531964148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601784201 (or 601784189 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 57.

The spelling of 51531964148352 in words is "fifty-one trillion, five hundred thirty-one billion, nine hundred sixty-four million, one hundred forty-eight thousand, three hundred fifty-two".