5005100011006 has 16 divisors (see below), whose sum is σ = 7514349137568. Its totient is φ = 2500317216000.

The previous prime is 5005100011001. The next prime is 5005100011007. The reversal of 5005100011006 is 6001100015005.

It is a super-2 number, since 2×5005100011006² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005100011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47966266 + ... + 48070498.

It is an arithmetic number, because the mean of its divisors is an integer number (469646821098).

Almost surely, 2^{5005100011006} is an apocalyptic number.

5005100011006 is a deficient number, since it is larger than the sum of its proper divisors (2509249126562).

5005100011006 is a wasteful number, since it uses less digits than its factorization.

5005100011006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125427.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 5005100011006 in words is "five trillion, five billion, one hundred million, eleven thousand, six".