5166516601117 has 2 divisors, whose sum is σ = 5166516601118. Its totient is φ = 5166516601116.

The previous prime is 5166516601091. The next prime is 5166516601123. The reversal of 5166516601117 is 7111066156615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4339009814841 + 827506786276 = 2083029^2 + 909674^2 .

It is a cyclic number.

It is not a de Polignac number, because 5166516601117 - 2¹⁵ = 5166516568349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5166516601217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583258300558 + 2583258300559.

It is an arithmetic number, because the mean of its divisors is an integer number (2583258300559).

Almost surely, 2^{5166516601117} is an apocalyptic number.

It is an amenable number.

5166516601117 is a deficient number, since it is larger than the sum of its proper divisors (1).

5166516601117 is an equidigital number, since it uses as much as digits as its factorization.

5166516601117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 46.

The spelling of 5166516601117 in words is "five trillion, one hundred sixty-six billion, five hundred sixteen million, six hundred one thousand, one hundred seventeen".