51005010006 has 24 divisors (see below), whose sum is σ = 110532896760. Its totient is φ = 16998278976.

The previous prime is 51005009983. The next prime is 51005010011. The reversal of 51005010006 is 60001050015.

51005010006 is a `hidden beast` number, since 510 + 0 + 50 + 100 + 0 + 6 = 666.

It is a super-2 number, since 2×51005010006² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188995 + ... + 371118.

It is an arithmetic number, because the mean of its divisors is an integer number (4605537365).

Almost surely, 2^51005010006 is an apocalyptic number.

51005010006 is an abundant number, since it is smaller than the sum of its proper divisors (59527886754).

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

51005010006 is a wasteful number, since it uses less digits than its factorization.

51005010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565180 (or 565177 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 51005010006 in words is "fifty-one billion, five million, ten thousand, six".