51193509957 has 24 divisors (see below), whose sum is σ = 76635756288. Its totient is φ = 32896440000.

The previous prime is 51193509937. The next prime is 51193509967. The reversal of 51193509957 is 75990539115.

51193509957 is a `hidden beast` number, since 511 + 9 + 35 + 0 + 9 + 95 + 7 = 666.

It is not a de Polignac number, because 51193509957 - 2⁸ = 51193509701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51193509937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295488 + ... + 435545.

It is an arithmetic number, because the mean of its divisors is an integer number (3193156512).

Almost surely, 2^51193509957 is an apocalyptic number.

It is an amenable number.

51193509957 is a deficient number, since it is larger than the sum of its proper divisors (25442246331).

51193509957 is a wasteful number, since it uses less digits than its factorization.

51193509957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731321 (or 731318 counting only the distinct ones).

The product of its (nonzero) digits is 1913625, while the sum is 54.

The spelling of 51193509957 in words is "fifty-one billion, one hundred ninety-three million, five hundred nine thousand, nine hundred fifty-seven".