2564716657 has 2 divisors, whose sum is σ = 2564716658. Its totient is φ = 2564716656.

The previous prime is 2564716621. The next prime is 2564716667. The reversal of 2564716657 is 7566174652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2374028176 + 190688481 = 48724^2 + 13809^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564716657 - 2¹¹ = 2564714609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564716657.

It is not a weakly prime, because it can be changed into another prime (2564716667) 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, 1282358328 + 1282358329.

It is an arithmetic number, because the mean of its divisors is an integer number (1282358329).

Almost surely, 2^2564716657 is an apocalyptic number.

It is an amenable number.

2564716657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564716657 is an equidigital number, since it uses as much as digits as its factorization.

2564716657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2116800, while the sum is 49.

The square root of 2564716657 is about 50643.0316726793. The cubic root of 2564716657 is about 1368.8203846071.

The spelling of 2564716657 in words is "two billion, five hundred sixty-four million, seven hundred sixteen thousand, six hundred fifty-seven".