5010105506017 has 2 divisors, whose sum is σ = 5010105506018. Its totient is φ = 5010105506016.

The previous prime is 5010105506011. The next prime is 5010105506023. The reversal of 5010105506017 is 7106055010105.

It is a balanced prime because it is at equal distance from previous prime (5010105506011) and next prime (5010105506023).

It can be written as a sum of positive squares in only one way, i.e., 4995220530001 + 14884976016 = 2234999^2 + 122004^2 .

It is a cyclic number.

It is not a de Polignac number, because 5010105506017 - 2¹⁵ = 5010105473249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5010105506017.

It is not a weakly prime, because it can be changed into another prime (5010105506011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2505052753008 + 2505052753009.

It is an arithmetic number, because the mean of its divisors is an integer number (2505052753009).

Almost surely, 2^{5010105506017} is an apocalyptic number.

It is an amenable number.

5010105506017 is a deficient number, since it is larger than the sum of its proper divisors (1).

5010105506017 is an equidigital number, since it uses as much as digits as its factorization.

5010105506017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5250, while the sum is 31.

The spelling of 5010105506017 in words is "five trillion, ten billion, one hundred five million, five hundred six thousand, seventeen".