500105506005 has 96 divisors (see below), whose sum is σ = 997639718400. Its totient is φ = 227019386880.

The previous prime is 500105506001. The next prime is 500105506009. The reversal of 500105506005 is 500605501005.

500105506005 is a `hidden beast` number, since 5 + 0 + 0 + 1 + 0 + 5 + 50 + 600 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (500105506001) and next prime (500105506009).

It is not a de Polignac number, because 500105506005 - 2² = 500105506001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 500105506005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500105506001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32651229 + ... + 32666541.

It is an arithmetic number, because the mean of its divisors is an integer number (10392080400).

Almost surely, 2^500105506005 is an apocalyptic number.

It is an amenable number.

500105506005 is a deficient number, since it is larger than the sum of its proper divisors (497534212395).

500105506005 is a wasteful number, since it uses less digits than its factorization.

500105506005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16051 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 500105506005 in words is "five hundred billion, one hundred five million, five hundred six thousand, five".