564664104356753 has 2 divisors, whose sum is σ = 564664104356754. Its totient is φ = 564664104356752.

The previous prime is 564664104356581. The next prime is 564664104356789. The reversal of 564664104356753 is 357653401466465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 545349204460369 + 19314899896384 = 23352713^2 + 4394872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564664104356753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564664104356753.

It is not a weakly prime, because it can be changed into another prime (564664104356353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282332052178376 + 282332052178377.

It is an arithmetic number, because the mean of its divisors is an integer number (282332052178377).

Almost surely, 2^{564664104356753} is an apocalyptic number.

It is an amenable number.

564664104356753 is a deficient number, since it is larger than the sum of its proper divisors (1).

564664104356753 is an equidigital number, since it uses as much as digits as its factorization.

564664104356753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184000, while the sum is 65.

The spelling of 564664104356753 in words is "five hundred sixty-four trillion, six hundred sixty-four billion, one hundred four million, three hundred fifty-six thousand, seven hundred fifty-three".