82366777766309 has 2 divisors, whose sum is σ = 82366777766310. Its totient is φ = 82366777766308.

The previous prime is 82366777766281. The next prime is 82366777766323. The reversal of 82366777766309 is 90366777766328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41707701422500 + 40659076343809 = 6458150^2 + 6376447^2 .

It is a cyclic number.

It is not a de Polignac number, because 82366777766309 - 2²⁰ = 82366776717733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82366777766309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82366777766389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41183388883154 + 41183388883155.

It is an arithmetic number, because the mean of its divisors is an integer number (41183388883155).

Almost surely, 2^{82366777766309} is an apocalyptic number.

It is an amenable number.

82366777766309 is a deficient number, since it is larger than the sum of its proper divisors (1).

82366777766309 is an equidigital number, since it uses as much as digits as its factorization.

82366777766309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032758016, while the sum is 77.

The spelling of 82366777766309 in words is "eighty-two trillion, three hundred sixty-six billion, seven hundred seventy-seven million, seven hundred sixty-six thousand, three hundred nine".