5006001005005 has 32 divisors (see below), whose sum is σ = 8065612816128. Its totient is φ = 2880576000000.

The previous prime is 5006001004993. The next prime is 5006001005011. The reversal of 5006001005005 is 5005001006005.

5006001005005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5006001005005 - 2⁵ = 5006001004973 is a prime.

It is a super-2 number, since 2×5006001005005² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500094996 + ... + 500105005.

It is an arithmetic number, because the mean of its divisors is an integer number (252050400504).

Almost surely, 2^{5006001005005} is an apocalyptic number.

5006001005005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5006001005005 is a deficient number, since it is larger than the sum of its proper divisors (3059611811123).

5006001005005 is a wasteful number, since it uses less digits than its factorization.

5006001005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000200037.

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 5006001005005 in words is "five trillion, six billion, one million, five thousand, five".