564135867 has 16 divisors (see below), whose sum is σ = 836133760. Its totient is φ = 375921000.

The previous prime is 564135833. The next prime is 564135883. The reversal of 564135867 is 768531465.

564135867 is a `hidden beast` number, since 5 + 64 + 1 + 3 + 586 + 7 = 666.

It is not a de Polignac number, because 564135867 - 2⁷ = 564135739 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564135827) 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 in 15 ways as a sum of consecutive naturals, for example, 93492 + ... + 99342.

It is an arithmetic number, because the mean of its divisors is an integer number (52258360).

Almost surely, 2^564135867 is an apocalyptic number.

564135867 is a deficient number, since it is larger than the sum of its proper divisors (271997893).

564135867 is a wasteful number, since it uses less digits than its factorization.

564135867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431 (or 9425 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 564135867 is about 23751.5445181992. The cubic root of 564135867 is about 826.2812620051.

The spelling of 564135867 in words is "five hundred sixty-four million, one hundred thirty-five thousand, eight hundred sixty-seven".