8106172013917 has 2 divisors, whose sum is σ = 8106172013918. Its totient is φ = 8106172013916.

The previous prime is 8106172013869. The next prime is 8106172013957. The reversal of 8106172013917 is 7193102716018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4876725805561 + 3229446208356 = 2208331^2 + 1797066^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8106172013917 is a prime.

It is a super-2 number, since 2×8106172013917² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8106172013957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4053086006958 + 4053086006959.

It is an arithmetic number, because the mean of its divisors is an integer number (4053086006959).

Almost surely, 2^{8106172013917} is an apocalyptic number.

It is an amenable number.

8106172013917 is a deficient number, since it is larger than the sum of its proper divisors (1).

8106172013917 is an equidigital number, since it uses as much as digits as its factorization.

8106172013917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 46.

The spelling of 8106172013917 in words is "eight trillion, one hundred six billion, one hundred seventy-two million, thirteen thousand, nine hundred seventeen".