2564558317 has 2 divisors, whose sum is σ = 2564558318. Its totient is φ = 2564558316.

The previous prime is 2564558291. The next prime is 2564558327. The reversal of 2564558317 is 7138554652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2494902601 + 69655716 = 49949^2 + 8346^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564558317 - 2¹⁵ = 2564525549 is a prime.

It is a super-4 number, since 4×2564558317⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564558327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282279158 + 1282279159.

It is an arithmetic number, because the mean of its divisors is an integer number (1282279159).

Almost surely, 2^2564558317 is an apocalyptic number.

It is an amenable number.

2564558317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564558317 is an equidigital number, since it uses as much as digits as its factorization.

2564558317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008000, while the sum is 46.

The square root of 2564558317 is about 50641.4683535144. The cubic root of 2564558317 is about 1368.7922147013.

The spelling of 2564558317 in words is "two billion, five hundred sixty-four million, five hundred fifty-eight thousand, three hundred seventeen".