5006011105825 has 24 divisors (see below), whose sum is σ = 6477864640128. Its totient is φ = 3830378302080.

The previous prime is 5006011105801. The next prime is 5006011105829. The reversal of 5006011105825 is 5285011106005.

It is not a de Polignac number, because 5006011105825 - 2²⁷ = 5005876888097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5006011105829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6927829 + ... + 7616221.

It is an arithmetic number, because the mean of its divisors is an integer number (269911026672).

Almost surely, 2^{5006011105825} is an apocalyptic number.

It is an amenable number.

5006011105825 is a deficient number, since it is larger than the sum of its proper divisors (1471853534303).

5006011105825 is a wasteful number, since it uses less digits than its factorization.

5006011105825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701073 (or 701068 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 34.

The spelling of 5006011105825 in words is "five trillion, six billion, eleven million, one hundred five thousand, eight hundred twenty-five".