51516356125557 has 16 divisors (see below), whose sum is σ = 72351509368320. Its totient is φ = 32515112732400.

The previous prime is 51516356125517. The next prime is 51516356125573. The reversal of 51516356125557 is 75552165361515.

It is not a de Polignac number, because 51516356125557 - 2²⁰ = 51516355076981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 51516356125497 and 51516356125506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51516356125517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298985919 + ... + 299158172.

It is an arithmetic number, because the mean of its divisors is an integer number (4521969335520).

Almost surely, 2^{51516356125557} is an apocalyptic number.

51516356125557 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

51516356125557 is a deficient number, since it is larger than the sum of its proper divisors (20835153242763).

51516356125557 is a wasteful number, since it uses less digits than its factorization.

51516356125557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598145624.

The product of its digits is 23625000, while the sum is 57.

The spelling of 51516356125557 in words is "fifty-one trillion, five hundred sixteen billion, three hundred fifty-six million, one hundred twenty-five thousand, five hundred fifty-seven".