564510006 has 16 divisors (see below), whose sum is σ = 1254466800. Its totient is φ = 188169984.

The previous prime is 564509993. The next prime is 564510029. The reversal of 564510006 is 600015465.

It is a happy number.

564510006 is a `hidden beast` number, since 5 + 645 + 10 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5226891 + ... + 5226998.

It is an arithmetic number, because the mean of its divisors is an integer number (78404175).

Almost surely, 2^564510006 is an apocalyptic number.

564510006 is an abundant number, since it is smaller than the sum of its proper divisors (689956794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564510006 is a wasteful number, since it uses less digits than its factorization.

564510006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453900 (or 10453894 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 564510006 is about 23759.4193110859. The cubic root of 564510006 is about 826.4638868810.

It can be divided in two parts, 5645 and 10006, that added together give a palindrome (15651).

The spelling of 564510006 in words is "five hundred sixty-four million, five hundred ten thousand, six".