5004117560761 has 16 divisors (see below), whose sum is σ = 5507797642560. Its totient is φ = 4508671847680.

The previous prime is 5004117560719. The next prime is 5004117560791. The reversal of 5004117560761 is 1670657114005.

It is a happy number.

It is not a de Polignac number, because 5004117560761 - 2¹⁵ = 5004117527993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5004117560791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761091 + ... + 3620728.

It is an arithmetic number, because the mean of its divisors is an integer number (344237352660).

Almost surely, 2^{5004117560761} is an apocalyptic number.

It is an amenable number.

5004117560761 is a deficient number, since it is larger than the sum of its proper divisors (503680081799).

5004117560761 is a wasteful number, since it uses less digits than its factorization.

5004117560761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382584.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 5004117560761 in words is "five trillion, four billion, one hundred seventeen million, five hundred sixty thousand, seven hundred sixty-one".