64635435225 has 81 divisors (see below), whose sum is σ = 123103261047. Its totient is φ = 32411911680.

The previous prime is 64635435203. The next prime is 64635435229. The reversal of 64635435225 is 52253453646.

The square root of 64635435225 is 254235.

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

64635435225 is a `hidden beast` number, since 6 + 4 + 635 + 4 + 3 + 5 + 2 + 2 + 5 = 666.

64635435225 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 3325713561 + 61309721664 = 57669^2 + 247608^2 .

It is not a de Polignac number, because 64635435225 - 2⁷ = 64635435097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (64635435229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64829427 + ... + 64830423.

Almost surely, 2^64635435225 is an apocalyptic number.

64635435225 is the 254235-th square number.

64635435225 is the 127118-th centered octagonal number.

It is an amenable number.

64635435225 is a deficient number, since it is larger than the sum of its proper divisors (58467825822).

64635435225 is an equidigital number, since it uses as much as digits as its factorization.

64635435225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 1022 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 64635435225 in words is "sixty-four billion, six hundred thirty-five million, four hundred thirty-five thousand, two hundred twenty-five".