51676655625 has 135 divisors (see below), whose sum is σ = 108754986483. Its totient is φ = 23569056000.

The previous prime is 51676655603. The next prime is 51676655659. The reversal of 51676655625 is 52655667615.

The square root of 51676655625 is 227325.

It is a perfect power (a square), and thus also a powerful number.

51676655625 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 6 + 6 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 51504940809 + 171714816 = 226947^2 + 13104^2 .

It is not a de Polignac number, because 51676655625 - 2¹¹ = 51676653577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 119345409 + ... + 119345841.

Almost surely, 2^51676655625 is an apocalyptic number.

51676655625 is the 227325-th square number.

51676655625 is the 113663-rd centered octagonal number.

It is an amenable number.

51676655625 is an abundant number, since it is smaller than the sum of its proper divisors (57078330858).

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

51676655625 is an frugal number, since it uses more digits than its factorization.

51676655625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 448 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 51676655625 in words is "fifty-one billion, six hundred seventy-six million, six hundred fifty-five thousand, six hundred twenty-five".