53121138980625 has 225 divisors, whose sum is σ = 102789767477397. Its totient is φ = 27329844528000.

The previous prime is 53121138980599. The next prime is 53121138980659. The reversal of 53121138980625 is 52608983112135.

The square root of 53121138980625 is 7288425.

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

53121138980625 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 1 + 1 + 3 + 8 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 24044282829009 + 29076856151616 = 4903497^2 + 5392296^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 53121138980625 - 2³⁵ = 53086779242257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 47556972567 + ... + 47556973683.

Almost surely, 2^{53121138980625} is an apocalyptic number.

53121138980625 is the 7288425-th square number.

53121138980625 is the 3644213-rd centered octagonal number.

It is an amenable number.

53121138980625 is a deficient number, since it is larger than the sum of its proper divisors (49668628496772).

53121138980625 is an frugal number, since it uses more digits than its factorization.

53121138980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 53121138980625 in words is "fifty-three trillion, one hundred twenty-one billion, one hundred thirty-eight million, nine hundred eighty thousand, six hundred twenty-five".