5133638012085 has 96 divisors (see below), whose sum is σ = 9743013072000. Its totient is φ = 2479881830400.

The previous prime is 5133638012053. The next prime is 5133638012117. The reversal of 5133638012085 is 5802108363315.

5133638012085 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 638 + 0 + 1 + 2 + 0 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5133638012053) and next prime (5133638012117).

It is not a de Polignac number, because 5133638012085 - 2⁵ = 5133638012053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5133638012085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148788166 + ... + 148822664.

It is an arithmetic number, because the mean of its divisors is an integer number (101489719500).

Almost surely, 2^{5133638012085} is an apocalyptic number.

5133638012085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5133638012085 is a deficient number, since it is larger than the sum of its proper divisors (4609375059915).

5133638012085 is a wasteful number, since it uses less digits than its factorization.

5133638012085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35619 (or 35616 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5133638012085 in words is "five trillion, one hundred thirty-three billion, six hundred thirty-eight million, twelve thousand, eighty-five".