5005111106061 has 72 divisors (see below), whose sum is σ = 8370298179360. Its totient is φ = 2857689892800.

The previous prime is 5005111106053. The next prime is 5005111106077. The reversal of 5005111106061 is 1606011115005.

5005111106061 is a `hidden beast` number, since 5 + 0 + 0 + 51 + 1 + 1 + 1 + 0 + 606 + 1 = 666.

It is not a de Polignac number, because 5005111106061 - 2³ = 5005111106053 is a prime.

It is a super-2 number, since 2×5005111106061² (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 (5005111106081) 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 71 ways as a sum of consecutive naturals, for example, 6006091 + ... + 6788471.

It is an arithmetic number, because the mean of its divisors is an integer number (116254141380).

Almost surely, 2^{5005111106061} is an apocalyptic number.

It is an amenable number.

5005111106061 is a deficient number, since it is larger than the sum of its proper divisors (3365187073299).

5005111106061 is a wasteful number, since it uses less digits than its factorization.

5005111106061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782615 (or 782593 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 5005111106061 in words is "five trillion, five billion, one hundred eleven million, one hundred six thousand, sixty-one".