51564006 has 32 divisors (see below), whose sum is σ = 123402720. Its totient is φ = 15865632.

The previous prime is 51563989. The next prime is 51564031. The reversal of 51564006 is 60046515.

It is a happy number.

51564006 is a `hidden beast` number, since 5 + 15 + 640 + 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 15 ways as a sum of consecutive naturals, for example, 36025 + ... + 37428.

It is an arithmetic number, because the mean of its divisors is an integer number (3856335).

Almost surely, 2^51564006 is an apocalyptic number.

51564006 is an abundant number, since it is smaller than the sum of its proper divisors (71838714).

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

51564006 is a wasteful number, since it uses less digits than its factorization.

51564006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73477 (or 73471 counting only the distinct ones).

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

The square root of 51564006 is about 7180.8081717868. The cubic root of 51564006 is about 372.2050118657.

The spelling of 51564006 in words is "fifty-one million, five hundred sixty-four thousand, six".