5005506060511 has 64 divisors (see below), whose sum is σ = 5920401715200. Its totient is φ = 4188415795200.

The previous prime is 5005506060433. The next prime is 5005506060523. The reversal of 5005506060511 is 1150606055005.

It is a cyclic number.

It is not a de Polignac number, because 5005506060511 - 2¹⁷ = 5005505929439 is a prime.

It is a super-2 number, since 2×5005506060511² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005506060211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100199406 + ... + 100249348.

It is an arithmetic number, because the mean of its divisors is an integer number (92506276800).

Almost surely, 2^{5005506060511} is an apocalyptic number.

5005506060511 is a deficient number, since it is larger than the sum of its proper divisors (914895654689).

5005506060511 is a wasteful number, since it uses less digits than its factorization.

5005506060511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50200.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 5005506060511 in words is "five trillion, five billion, five hundred six million, sixty thousand, five hundred eleven".