5256679635025 has 81 divisors (see below), whose sum is σ = 8212257361521. Its totient is φ = 3326644601280.

The previous prime is 5256679635007. The next prime is 5256679635113. The reversal of 5256679635025 is 5205369766525.

The square root of 5256679635025 is 2292745.

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 1354916952081 + 3901762682944 = 1164009^2 + 1975288^2 .

It is not a de Polignac number, because 5256679635025 - 2¹¹ = 5256679632977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1043196456 + ... + 1043201494.

Almost surely, 2^{5256679635025} is an apocalyptic number.

5256679635025 is the 2292745-th square number.

5256679635025 is the 1146373-rd centered octagonal number.

It is an amenable number.

5256679635025 is a deficient number, since it is larger than the sum of its proper divisors (2955577726496).

5256679635025 is an frugal number, since it uses more digits than its factorization.

5256679635025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 61.

The spelling of 5256679635025 in words is "five trillion, two hundred fifty-six billion, six hundred seventy-nine million, six hundred thirty-five thousand, twenty-five".