82665177011213 has 2 divisors, whose sum is σ = 82665177011214. Its totient is φ = 82665177011212.

The previous prime is 82665177011171. The next prime is 82665177011309. The reversal of 82665177011213 is 31211077156628.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81938758312009 + 726418699204 = 9052003^2 + 852302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82665177011213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82665177011513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41332588505606 + 41332588505607.

It is an arithmetic number, because the mean of its divisors is an integer number (41332588505607).

Almost surely, 2^{82665177011213} is an apocalyptic number.

It is an amenable number.

82665177011213 is a deficient number, since it is larger than the sum of its proper divisors (1).

82665177011213 is an equidigital number, since it uses as much as digits as its factorization.

82665177011213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 82665177011213 in words is "eighty-two trillion, six hundred sixty-five billion, one hundred seventy-seven million, eleven thousand, two hundred thirteen".