564904013 has 2 divisors, whose sum is σ = 564904014. Its totient is φ = 564904012.

The previous prime is 564903973. The next prime is 564904037. The reversal of 564904013 is 310409465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 483868009 + 81036004 = 21997^2 + 9002^2 .

It is a cyclic number.

It is not a de Polignac number, because 564904013 - 2⁶ = 564903949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564904213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282452006 + 282452007.

It is an arithmetic number, because the mean of its divisors is an integer number (282452007).

Almost surely, 2^564904013 is an apocalyptic number.

It is an amenable number.

564904013 is a deficient number, since it is larger than the sum of its proper divisors (1).

564904013 is an equidigital number, since it uses as much as digits as its factorization.

564904013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 564904013 is about 23767.7094605265. The cubic root of 564904013 is about 826.6561225206.

The spelling of 564904013 in words is "five hundred sixty-four million, nine hundred four thousand, thirteen".