564429151225 has 81 divisors (see below), whose sum is σ = 748988899533. Its totient is φ = 421921656000.

The previous prime is 564429151211. The next prime is 564429151289. The reversal of 564429151225 is 522151924465.

The square root of 564429151225 is 751285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 53581601529 + 510847549696 = 231477^2 + 714736^2 .

It is not a de Polignac number, because 564429151225 - 2⁹ = 564429150713 is a prime.

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, 4308619410 + ... + 4308619540.

Almost surely, 2^564429151225 is an apocalyptic number.

564429151225 is the 751285-th square number.

564429151225 is the 375643-rd centered octagonal number.

It is an amenable number.

564429151225 is a deficient number, since it is larger than the sum of its proper divisors (184559748308).

564429151225 is an equidigital number, since it uses as much as digits as its factorization.

564429151225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The spelling of 564429151225 in words is "five hundred sixty-four billion, four hundred twenty-nine million, one hundred fifty-one thousand, two hundred twenty-five".