5105100506005 has 16 divisors (see below), whose sum is σ = 6490443239280. Its totient is φ = 3841492175872.

The previous prime is 5105100505997. The next prime is 5105100506029. The reversal of 5105100506005 is 5006050015015.

It can be written as a sum of positive squares in 8 ways, for example, as 9634011409 + 5095466494596 = 98153^2 + 2257314^2 .

It is a cyclic number.

It is not a de Polignac number, because 5105100506005 - 2³ = 5105100505997 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18205390 + ... + 18483679.

It is an arithmetic number, because the mean of its divisors is an integer number (405652702455).

Almost surely, 2^{5105100506005} is an apocalyptic number.

It is an amenable number.

5105100506005 is a deficient number, since it is larger than the sum of its proper divisors (1385342733275).

5105100506005 is a wasteful number, since it uses less digits than its factorization.

5105100506005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36690728.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 5105100506005 in words is "five trillion, one hundred five billion, one hundred million, five hundred six thousand, five".