564664104356213 has 2 divisors, whose sum is σ = 564664104356214. Its totient is φ = 564664104356212.

The previous prime is 564664104356179. The next prime is 564664104356237. The reversal of 564664104356213 is 312653401466465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 500173857097489 + 64490247258724 = 22364567^2 + 8030582^2 .

It is a cyclic number.

It is not a de Polignac number, because 564664104356213 - 2²⁸ = 564663835920757 is a prime.

It is a super-3 number, since 3×564664104356213³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564664104856213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282332052178106 + 282332052178107.

It is an arithmetic number, because the mean of its divisors is an integer number (282332052178107).

Almost surely, 2^{564664104356213} is an apocalyptic number.

It is an amenable number.

564664104356213 is a deficient number, since it is larger than the sum of its proper divisors (1).

564664104356213 is an equidigital number, since it uses as much as digits as its factorization.

564664104356213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37324800, while the sum is 56.

The spelling of 564664104356213 in words is "five hundred sixty-four trillion, six hundred sixty-four billion, one hundred four million, three hundred fifty-six thousand, two hundred thirteen".