64513425600625 has 45 divisors (see below), whose sum is σ = 81447661787349. Its totient is φ = 51083679000000.

The previous prime is 64513425600541. The next prime is 64513425600671. The reversal of 64513425600625 is 52600652431546.

The square root of 64513425600625 is 8032025.

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 61803135081009 + 2710290519616 = 7861497^2 + 1646296^2 .

It is not a de Polignac number, because 64513425600625 - 2¹³ = 64513425592433 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, 20280861535 + ... + 20280864715.

Almost surely, 2^{64513425600625} is an apocalyptic number.

64513425600625 is the 8032025-th square number.

64513425600625 is the 4016013-rd centered octagonal number.

It is an amenable number.

64513425600625 is a deficient number, since it is larger than the sum of its proper divisors (16934236186724).

64513425600625 is an frugal number, since it uses more digits than its factorization.

64513425600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 64513425600625 in words is "sixty-four trillion, five hundred thirteen billion, four hundred twenty-five million, six hundred thousand, six hundred twenty-five".