5105055610117 has 2 divisors, whose sum is σ = 5105055610118. Its totient is φ = 5105055610116.

The previous prime is 5105055610009. The next prime is 5105055610141. The reversal of 5105055610117 is 7110165505015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4982029346116 + 123026264001 = 2232046^2 + 350751^2 .

It is a cyclic number.

It is not a de Polignac number, because 5105055610117 - 2³⁵ = 5070695871749 is a prime.

It is a super-2 number, since 2×5105055610117² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5105055610177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2552527805058 + 2552527805059.

It is an arithmetic number, because the mean of its divisors is an integer number (2552527805059).

Almost surely, 2^{5105055610117} is an apocalyptic number.

It is an amenable number.

5105055610117 is a deficient number, since it is larger than the sum of its proper divisors (1).

5105055610117 is an equidigital number, since it uses as much as digits as its factorization.

5105055610117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26250, while the sum is 37.

The spelling of 5105055610117 in words is "five trillion, one hundred five billion, fifty-five million, six hundred ten thousand, one hundred seventeen".