51506175125 has 36 divisors (see below), whose sum is σ = 65686919844. Its totient is φ = 40321933600.

The previous prime is 51506175053. The next prime is 51506175131. The reversal of 51506175125 is 52157160515.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 6971248036 + 44534927089 = 83494^2 + 211033^2 .

It is not a de Polignac number, because 51506175125 - 2⁸ = 51506174869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134480684 + ... + 134481066.

Almost surely, 2^51506175125 is an apocalyptic number.

It is an amenable number.

51506175125 is a deficient number, since it is larger than the sum of its proper divisors (14180744719).

51506175125 is an frugal number, since it uses more digits than its factorization.

51506175125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 38.

The spelling of 51506175125 in words is "fifty-one billion, five hundred six million, one hundred seventy-five thousand, one hundred twenty-five".