657564613 has 2 divisors, whose sum is σ = 657564614. Its totient is φ = 657564612.

The previous prime is 657564581. The next prime is 657564623. The reversal of 657564613 is 316465756.

657564613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 633377889 + 24186724 = 25167^2 + 4918^2 .

It is a cyclic number.

It is not a de Polignac number, because 657564613 - 2⁵ = 657564581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 657564613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657564623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328782306 + 328782307.

It is an arithmetic number, because the mean of its divisors is an integer number (328782307).

Almost surely, 2^657564613 is an apocalyptic number.

It is an amenable number.

657564613 is a deficient number, since it is larger than the sum of its proper divisors (1).

657564613 is an equidigital number, since it uses as much as digits as its factorization.

657564613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 453600, while the sum is 43.

The square root of 657564613 is about 25643.0226962423. The cubic root of 657564613 is about 869.5865446353.

The spelling of 657564613 in words is "six hundred fifty-seven million, five hundred sixty-four thousand, six hundred thirteen".