5005101011005 has 16 divisors (see below), whose sum is σ = 6267338509824. Its totient is φ = 3829940477440.

The previous prime is 5005101010969. The next prime is 5005101011011. The reversal of 5005101011005 is 5001101015005.

It is a happy number.

It is not a de Polignac number, because 5005101011005 - 2²⁵ = 5005067456573 is a prime.

It is a super-2 number, since 2×5005101011005² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10300077 + ... + 10775053.

It is an arithmetic number, because the mean of its divisors is an integer number (391708656864).

Almost surely, 2^{5005101011005} is an apocalyptic number.

It is an amenable number.

5005101011005 is a deficient number, since it is larger than the sum of its proper divisors (1262237498819).

5005101011005 is a wasteful number, since it uses less digits than its factorization.

5005101011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566636.

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 5005101011005 in words is "five trillion, five billion, one hundred one million, eleven thousand, five".