63435978225 has 135 divisors (see below), whose sum is σ = 122330811603. Its totient is φ = 32496629760.

The previous prime is 63435978191. The next prime is 63435978239. The reversal of 63435978225 is 52287953436.

The square root of 63435978225 is 251865.

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

63435978225 is a `hidden beast` number, since 6 + 3 + 43 + 597 + 8 + 2 + 2 + 5 = 666.

63435978225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 53946101169 + 9489877056 = 232263^2 + 97416^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 63435978225 - 2⁷ = 63435978097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 328683729 + ... + 328683921.

Almost surely, 2^63435978225 is an apocalyptic number.

63435978225 is the 251865-th square number.

63435978225 is the 125933-rd centered octagonal number.

It is an amenable number.

63435978225 is a deficient number, since it is larger than the sum of its proper divisors (58894833378).

63435978225 is an equidigital number, since it uses as much as digits as its factorization.

63435978225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 230 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 63435978225 in words is "sixty-three billion, four hundred thirty-five million, nine hundred seventy-eight thousand, two hundred twenty-five".