51005000006 has 24 divisors (see below), whose sum is σ = 81299539944. Its totient is φ = 23916262080.

The previous prime is 51004999993. The next prime is 51005000009. The reversal of 51005000006 is 60000050015.

It is a super-2 number, since 2×51005000006² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005000009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2713661 + ... + 2732391.

It is an arithmetic number, because the mean of its divisors is an integer number (3387480831).

Almost surely, 2^51005000006 is an apocalyptic number.

51005000006 is a deficient number, since it is larger than the sum of its proper divisors (30294539938).

51005000006 is a wasteful number, since it uses less digits than its factorization.

51005000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19316 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The spelling of 51005000006 in words is "fifty-one billion, five million, six", and thus it is an aban number and an uban number.