51132515625 has 147 divisors (see below), whose sum is σ = 97280024331. Its totient is φ = 26863650000.

The previous prime is 51132515611. The next prime is 51132515633. The reversal of 51132515625 is 52651523115.

The square root of 51132515625 is 226125.

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

51132515625 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 25 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 44796992409 + 6335523216 = 211653^2 + 79596^2 .

It is not a de Polignac number, because 51132515625 - 2⁵ = 51132515593 is a prime.

It is a super-2 number, since 2×51132515625² (a number of 22 digits) contains 22 as substring.

Its product of digits (45000) is a multiple of the sum of its prime divisors (75).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51132515625.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 763171842 + ... + 763171908.

It is an arithmetic number, because the mean of its divisors is an integer number (661768873).

Almost surely, 2^51132515625 is an apocalyptic number.

51132515625 is the 226125-th square number.

51132515625 is the 113063-rd centered octagonal number.

It is an amenable number.

51132515625 is a deficient number, since it is larger than the sum of its proper divisors (46147508706).

51132515625 is an frugal number, since it uses more digits than its factorization.

51132515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 75 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

Multiplying 51132515625 by its sum of digits (36), we get a square (1840770562500 = 1356750²).

The spelling of 51132515625 in words is "fifty-one billion, one hundred thirty-two million, five hundred fifteen thousand, six hundred twenty-five".