82557755552497 has 2 divisors, whose sum is σ = 82557755552498. Its totient is φ = 82557755552496.

The previous prime is 82557755552479. The next prime is 82557755552581. The reversal of 82557755552497 is 79425555775528.

Together with previous prime (82557755552479) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80797824315121 + 1759931237376 = 8988761^2 + 1326624^2 .

It is a cyclic number.

It is not a de Polignac number, because 82557755552497 - 2¹⁹ = 82557755028209 is a prime.

It is not a weakly prime, because it can be changed into another prime (82557755552897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41278877776248 + 41278877776249.

It is an arithmetic number, because the mean of its divisors is an integer number (41278877776249).

Almost surely, 2^{82557755552497} is an apocalyptic number.

It is an amenable number.

82557755552497 is a deficient number, since it is larger than the sum of its proper divisors (1).

82557755552497 is an equidigital number, since it uses as much as digits as its factorization.

82557755552497 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6174000000, while the sum is 76.

The spelling of 82557755552497 in words is "eighty-two trillion, five hundred fifty-seven billion, seven hundred fifty-five million, five hundred fifty-two thousand, four hundred ninety-seven".