82509767776297 has 2 divisors, whose sum is σ = 82509767776298. Its totient is φ = 82509767776296.

The previous prime is 82509767776243. The next prime is 82509767776313. The reversal of 82509767776297 is 79267776790528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59194235300841 + 23315532475456 = 7693779^2 + 4828616^2 .

It is a cyclic number.

It is not a de Polignac number, because 82509767776297 - 2¹⁹ = 82509767252009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82509767776297.

It is not a weakly prime, because it can be changed into another prime (82509767776897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41254883888148 + 41254883888149.

It is an arithmetic number, because the mean of its divisors is an integer number (41254883888149).

Almost surely, 2^{82509767776297} is an apocalyptic number.

It is an amenable number.

82509767776297 is a deficient number, since it is larger than the sum of its proper divisors (1).

82509767776297 is an equidigital number, since it uses as much as digits as its factorization.

82509767776297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7841473920, while the sum is 82.

The spelling of 82509767776297 in words is "eighty-two trillion, five hundred nine billion, seven hundred sixty-seven million, seven hundred seventy-six thousand, two hundred ninety-seven".