564516517 has 2 divisors, whose sum is σ = 564516518. Its totient is φ = 564516516.

The previous prime is 564516493. The next prime is 564516571. The reversal of 564516517 is 715615465.

564516517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (564516571) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497914596 + 66601921 = 22314^2 + 8161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564516517 is a prime.

It is a super-2 number, since 2×564516517² = 637357795931622578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 564516517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564516317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282258258 + 282258259.

It is an arithmetic number, because the mean of its divisors is an integer number (282258259).

Almost surely, 2^564516517 is an apocalyptic number.

It is an amenable number.

564516517 is a deficient number, since it is larger than the sum of its proper divisors (1).

564516517 is an equidigital number, since it uses as much as digits as its factorization.

564516517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 40.

The square root of 564516517 is about 23759.5563300328. The cubic root of 564516517 is about 826.4670643184.

The spelling of 564516517 in words is "five hundred sixty-four million, five hundred sixteen thousand, five hundred seventeen".