63632585025 has 81 divisors (see below), whose sum is σ = 116162300163. Its totient is φ = 33297660000.

The previous prime is 63632584993. The next prime is 63632585053. The reversal of 63632585025 is 52058523636.

The square root of 63632585025 is 252255.

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

63632585025 is a `hidden beast` number, since 6 + 3 + 63 + 2 + 585 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22907730609 + 40724854416 = 151353^2 + 201804^2 .

It is not a de Polignac number, because 63632585025 - 2⁵ = 63632584993 is a prime.

It is a super-3 number, since 3×63632585025³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 253516150 + ... + 253516400.

Almost surely, 2^63632585025 is an apocalyptic number.

63632585025 is the 252255-th square number.

63632585025 is the 126128-th centered octagonal number.

It is an amenable number.

63632585025 is a deficient number, since it is larger than the sum of its proper divisors (52529715138).

63632585025 is an equidigital number, since it uses as much as digits as its factorization.

63632585025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 63632585025 in words is "sixty-three billion, six hundred thirty-two million, five hundred eighty-five thousand, twenty-five".