2564560317 has 16 divisors (see below), whose sum is σ = 3831089472. Its totient is φ = 1512270720.

The previous prime is 2564560309. The next prime is 2564560319. The reversal of 2564560317 is 7130654652.

It is not a de Polignac number, because 2564560317 - 2³ = 2564560309 is a prime.

It is a super-2 number, since 2×2564560317² = 13153939239062280978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564560319) 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 in 15 ways as a sum of consecutive naturals, for example, 1048968 + ... + 1051409.

It is an arithmetic number, because the mean of its divisors is an integer number (239443092).

Almost surely, 2^2564560317 is an apocalyptic number.

It is an amenable number.

2564560317 is a deficient number, since it is larger than the sum of its proper divisors (1266529155).

2564560317 is a wasteful number, since it uses less digits than its factorization.

2564560317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100428.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2564560317 is about 50641.4881001734. The cubic root of 2564560317 is about 1368.7925705239.

The spelling of 2564560317 in words is "two billion, five hundred sixty-four million, five hundred sixty thousand, three hundred seventeen".