564288001 has 2 divisors, whose sum is σ = 564288002. Its totient is φ = 564288000.

The previous prime is 564287989. The next prime is 564288019. The reversal of 564288001 is 100882465.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 546437376 + 17850625 = 23376^2 + 4225^2 .

It is a cyclic number.

It is not a de Polignac number, because 564288001 - 2²⁷ = 430070273 is a prime.

It is not a weakly prime, because it can be changed into another prime (564288401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282144000 + 282144001.

It is an arithmetic number, because the mean of its divisors is an integer number (282144001).

Almost surely, 2^564288001 is an apocalyptic number.

It is an amenable number.

564288001 is a deficient number, since it is larger than the sum of its proper divisors (1).

564288001 is an equidigital number, since it uses as much as digits as its factorization.

564288001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 564288001 is about 23754.7469150905. The cubic root of 564288001 is about 826.3555314513.

The spelling of 564288001 in words is "five hundred sixty-four million, two hundred eighty-eight thousand, one".