82495164416017 has 2 divisors, whose sum is σ = 82495164416018. Its totient is φ = 82495164416016.

The previous prime is 82495164415981. The next prime is 82495164416047. The reversal of 82495164416017 is 71061446159428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50772237215296 + 31722927200721 = 7125464^2 + 5632311^2 .

It is a cyclic number.

It is not a de Polignac number, because 82495164416017 - 2¹⁹ = 82495163891729 is a prime.

It is a super-2 number, since 2×82495164416017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82495164416047) 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, 41247582208008 + 41247582208009.

It is an arithmetic number, because the mean of its divisors is an integer number (41247582208009).

Almost surely, 2^{82495164416017} is an apocalyptic number.

It is an amenable number.

82495164416017 is a deficient number, since it is larger than the sum of its proper divisors (1).

82495164416017 is an equidigital number, since it uses as much as digits as its factorization.

82495164416017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 82495164416017 in words is "eighty-two trillion, four hundred ninety-five billion, one hundred sixty-four million, four hundred sixteen thousand, seventeen".