53095680625 has 45 divisors (see below), whose sum is σ = 71946151893. Its totient is φ = 39153816000.

The previous prime is 53095680613. The next prime is 53095680731. The reversal of 53095680625 is 52608659035.

The square root of 53095680625 is 230425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 11538411889 + 41557268736 = 107417^2 + 203856^2 .

It is not a de Polignac number, because 53095680625 - 2¹⁹ = 53095156337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74887771 + ... + 74888479.

Almost surely, 2^53095680625 is an apocalyptic number.

53095680625 is the 230425-th square number.

53095680625 is the 115213-rd centered octagonal number.

It is an amenable number.

53095680625 is a deficient number, since it is larger than the sum of its proper divisors (18850471268).

53095680625 is an frugal number, since it uses more digits than its factorization.

53095680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 53095680625 by its sum of digits (49), we get a square (2601688350625 = 1612975²).

The spelling of 53095680625 in words is "fifty-three billion, ninety-five million, six hundred eighty thousand, six hundred twenty-five".