564746506233857 has 2 divisors, whose sum is σ = 564746506233858. Its totient is φ = 564746506233856.

The previous prime is 564746506233821. The next prime is 564746506233859. The reversal of 564746506233857 is 758332605647465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481950410450161 + 82796095783696 = 21953369^2 + 9099236^2 .

It is a cyclic number.

It is not a de Polignac number, because 564746506233857 - 2⁸ = 564746506233601 is a prime.

Together with 564746506233859, 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 (564746506233859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282373253116928 + 282373253116929.

It is an arithmetic number, because the mean of its divisors is an integer number (282373253116929).

Almost surely, 2^{564746506233857} is an apocalyptic number.

It is an amenable number.

564746506233857 is a deficient number, since it is larger than the sum of its proper divisors (1).

564746506233857 is an equidigital number, since it uses as much as digits as its factorization.

564746506233857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3048192000, while the sum is 71.

The spelling of 564746506233857 in words is "five hundred sixty-four trillion, seven hundred forty-six billion, five hundred six million, two hundred thirty-three thousand, eight hundred fifty-seven".