5105100505001 has 16 divisors (see below), whose sum is σ = 5868693388800. Its totient is φ = 4350142583808.

The previous prime is 5105100504989. The next prime is 5105100505013. The reversal of 5105100505001 is 1005050015015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5105100504989) and next prime (5105100505013).

It is not a de Polignac number, because 5105100505001 - 2²⁶ = 5105033396137 is a prime.

It is a super-2 number, since 2×5105100505001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5105100505031) 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, 1580816 + ... + 3564993.

It is an arithmetic number, because the mean of its divisors is an integer number (366793336800).

Almost surely, 2^{5105100505001} is an apocalyptic number.

It is an amenable number.

5105100505001 is a deficient number, since it is larger than the sum of its proper divisors (763592883799).

5105100505001 is a wasteful number, since it uses less digits than its factorization.

5105100505001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146648.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 5105100505001 in words is "five trillion, one hundred five billion, one hundred million, five hundred five thousand, one".