63511560225 has 81 divisors (see below), whose sum is σ = 116310007723. Its totient is φ = 33128883840.

The previous prime is 63511560191. The next prime is 63511560263. The reversal of 63511560225 is 52206511536.

The square root of 63511560225 is 252015.

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

63511560225 is a `hidden beast` number, since 6 + 35 + 1 + 15 + 602 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 57006815121 + 6504745104 = 238761^2 + 80652^2 .

It is not a de Polignac number, because 63511560225 - 2³⁵ = 29151821857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63511560225.

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, 200351767 + ... + 200352083.

Almost surely, 2^63511560225 is an apocalyptic number.

63511560225 is the 252015-th square number.

63511560225 is the 126008-th centered octagonal number.

It is an amenable number.

63511560225 is a deficient number, since it is larger than the sum of its proper divisors (52798447498).

63511560225 is an equidigital number, since it uses as much as digits as its factorization.

63511560225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

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

Multiplying 63511560225 by its sum of digits (36), we get a square (2286416168100 = 1512090²).

The spelling of 63511560225 in words is "sixty-three billion, five hundred eleven million, five hundred sixty thousand, two hundred twenty-five".