564432509 has 2 divisors, whose sum is σ = 564432510. Its totient is φ = 564432508.

The previous prime is 564432503. The next prime is 564432511. The reversal of 564432509 is 905234465.

564432509 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., 424483609 + 139948900 = 20603^2 + 11830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564432509 is a prime.

Together with 564432511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564432503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282216254 + 282216255.

It is an arithmetic number, because the mean of its divisors is an integer number (282216255).

Almost surely, 2^564432509 is an apocalyptic number.

It is an amenable number.

564432509 is a deficient number, since it is larger than the sum of its proper divisors (1).

564432509 is an equidigital number, since it uses as much as digits as its factorization.

564432509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 564432509 is about 23757.7883861272. The cubic root of 564432509 is about 826.4260656423.

The spelling of 564432509 in words is "five hundred sixty-four million, four hundred thirty-two thousand, five hundred nine".