62312640625 has 21 divisors (see below), whose sum is σ = 77928826717. Its totient is φ = 49825150000.

The previous prime is 62312640619. The next prime is 62312640661. The reversal of 62312640625 is 52604621326.

The square root of 62312640625 is 249625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 15282646129 + 47029994496 = 123623^2 + 216864^2 .

It is not a de Polignac number, because 62312640625 - 2³ = 62312640617 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 (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 31202127 + ... + 31204123.

Almost surely, 2^62312640625 is an apocalyptic number.

62312640625 is the 249625-th square number.

62312640625 is the 124813-rd centered octagonal number.

It is an amenable number.

62312640625 is a deficient number, since it is larger than the sum of its proper divisors (15616186092).

62312640625 is an frugal number, since it uses more digits than its factorization.

62312640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 62312640625 in words is "sixty-two billion, three hundred twelve million, six hundred forty thousand, six hundred twenty-five".