564758009 has 2 divisors, whose sum is σ = 564758010. Its totient is φ = 564758008.

The previous prime is 564757997. The next prime is 564758011. The reversal of 564758009 is 900857465.

564758009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 562875625 + 1882384 = 23725^2 + 1372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564758009 is a prime.

Together with 564758011, 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 (564758039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282379004 + 282379005.

It is an arithmetic number, because the mean of its divisors is an integer number (282379005).

Almost surely, 2^564758009 is an apocalyptic number.

It is an amenable number.

564758009 is a deficient number, since it is larger than the sum of its proper divisors (1).

564758009 is an equidigital number, since it uses as much as digits as its factorization.

564758009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 564758009 is about 23764.6377839007. The cubic root of 564758009 is about 826.5848977358.

The spelling of 564758009 in words is "five hundred sixty-four million, seven hundred fifty-eight thousand, nine".