82665177011309 has 2 divisors, whose sum is σ = 82665177011310. Its totient is φ = 82665177011308.

The previous prime is 82665177011213. The next prime is 82665177011353. The reversal of 82665177011309 is 90311077156628.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48250000073284 + 34415176938025 = 6946222^2 + 5866445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82665177011309 is a prime.

It is a super-2 number, since 2×82665177011309² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82665177031309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41332588505654 + 41332588505655.

It is an arithmetic number, because the mean of its divisors is an integer number (41332588505655).

Almost surely, 2^{82665177011309} is an apocalyptic number.

It is an amenable number.

82665177011309 is a deficient number, since it is larger than the sum of its proper divisors (1).

82665177011309 is an equidigital number, since it uses as much as digits as its factorization.

82665177011309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 82665177011309 in words is "eighty-two trillion, six hundred sixty-five billion, one hundred seventy-seven million, eleven thousand, three hundred nine".