630056525121 has 27 divisors (see below), whose sum is σ = 935474044323. Its totient is φ = 408628162800.

The previous prime is 630056525113. The next prime is 630056525141. The reversal of 630056525121 is 121525650036.

The square root of 630056525121 is 793761.

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

630056525121 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 5 + 6 + 525 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 563783231025 + 66273294096 = 750855^2 + 257436^2 .

It is not a de Polignac number, because 630056525121 - 2³ = 630056525113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (630056525141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88103896 + ... + 88111046.

Almost surely, 2^630056525121 is an apocalyptic number.

630056525121 is the 793761-st square number.

630056525121 is the 396881-st centered octagonal number.

It is an amenable number.

630056525121 is a deficient number, since it is larger than the sum of its proper divisors (305417519202).

630056525121 is an frugal number, since it uses more digits than its factorization.

630056525121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 630056525121 by its sum of digits (36), we get a square (22682034904356 = 4762566²).

The spelling of 630056525121 in words is "six hundred thirty billion, fifty-six million, five hundred twenty-five thousand, one hundred twenty-one".