52727640625 has 63 divisors (see below), whose sum is σ = 72881508511. Its totient is φ = 38117750000.

The previous prime is 52727640617. The next prime is 52727640661. The reversal of 52727640625 is 52604672725.

The square root of 52727640625 is 229625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 46194475041 + 6533165584 = 214929^2 + 80828^2 .

It is not a de Polignac number, because 52727640625 - 2³ = 52727640617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 315734292 + ... + 315734458.

Almost surely, 2^52727640625 is an apocalyptic number.

52727640625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52727640625 is the 229625-th square number.

52727640625 is the 114813-rd centered octagonal number.

It is an amenable number.

52727640625 is a deficient number, since it is larger than the sum of its proper divisors (20153867886).

52727640625 is an frugal number, since it uses more digits than its factorization.

52727640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 52727640625 in words is "fifty-two billion, seven hundred twenty-seven million, six hundred forty thousand, six hundred twenty-five".