51321964684225 has 27 divisors (see below), whose sum is σ = 64306428023721. Its totient is φ = 40631546860800.

The previous prime is 51321964684201. The next prime is 51321964684231. The reversal of 51321964684225 is 52248646912315.

The square root of 51321964684225 is 7163935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1887059932209 + 49434904752016 = 1373703^2 + 7030996^2 .

It is not a de Polignac number, because 51321964684225 - 2⁹ = 51321964683713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51321964684225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3474501090 + ... + 3474515860.

Almost surely, 2^{51321964684225} is an apocalyptic number.

51321964684225 is the 7163935-th square number.

51321964684225 is the 3581968-th centered octagonal number.

It is an amenable number.

51321964684225 is a deficient number, since it is larger than the sum of its proper divisors (12984463339496).

51321964684225 is an frugal number, since it uses more digits than its factorization.

51321964684225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29746 (or 14873 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 58.

The spelling of 51321964684225 in words is "fifty-one trillion, three hundred twenty-one billion, nine hundred sixty-four million, six hundred eighty-four thousand, two hundred twenty-five".