564087617 has 2 divisors, whose sum is σ = 564087618. Its totient is φ = 564087616.

The previous prime is 564087593. The next prime is 564087619. The reversal of 564087617 is 716780465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 560789761 + 3297856 = 23681^2 + 1816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564087617 is a prime.

Together with 564087619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (564087619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282043808 + 282043809.

It is an arithmetic number, because the mean of its divisors is an integer number (282043809).

Almost surely, 2^564087617 is an apocalyptic number.

It is an amenable number.

564087617 is a deficient number, since it is larger than the sum of its proper divisors (1).

564087617 is an equidigital number, since it uses as much as digits as its factorization.

564087617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 564087617 is about 23750.5287730610. The cubic root of 564087617 is about 826.2577043187.

The spelling of 564087617 in words is "five hundred sixty-four million, eighty-seven thousand, six hundred seventeen".