564456257 has 2 divisors, whose sum is σ = 564456258. Its totient is φ = 564456256.

The previous prime is 564456239. The next prime is 564456259. The reversal of 564456257 is 752654465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 544242241 + 20214016 = 23329^2 + 4496^2 .

It is a cyclic number.

It is not a de Polignac number, because 564456257 - 2⁸ = 564456001 is a prime.

It is a super-2 number, since 2×564456257² = 637221732132900098, which contains 22 as substring.

Together with 564456259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (564456259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282228128 + 282228129.

It is an arithmetic number, because the mean of its divisors is an integer number (282228129).

Almost surely, 2^564456257 is an apocalyptic number.

It is an amenable number.

564456257 is a deficient number, since it is larger than the sum of its proper divisors (1).

564456257 is an equidigital number, since it uses as much as digits as its factorization.

564456257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008000, while the sum is 44.

The square root of 564456257 is about 23758.2881748665. The cubic root of 564456257 is about 826.4376558624.

The spelling of 564456257 in words is "five hundred sixty-four million, four hundred fifty-six thousand, two hundred fifty-seven".