2564697657 has 8 divisors (see below), whose sum is σ = 3440074176. Its totient is φ = 1699559792.

The previous prime is 2564697649. The next prime is 2564697683. The reversal of 2564697657 is 7567964652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2564697657 - 2³ = 2564697649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2564697597 and 2564697606.

It is not an unprimeable number, because it can be changed into a prime (2564697647) 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 7 ways as a sum of consecutive naturals, for example, 2559078 + ... + 2560079.

It is an arithmetic number, because the mean of its divisors is an integer number (430009272).

Almost surely, 2^2564697657 is an apocalyptic number.

It is an amenable number.

2564697657 is a deficient number, since it is larger than the sum of its proper divisors (875376519).

2564697657 is a wasteful number, since it uses less digits than its factorization.

2564697657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119327.

The product of its digits is 19051200, while the sum is 57.

The square root of 2564697657 is about 50642.8440848260. The cubic root of 2564697657 is about 1368.8170044220.

The spelling of 2564697657 in words is "two billion, five hundred sixty-four million, six hundred ninety-seven thousand, six hundred fifty-seven".