82701647725313 has 2 divisors, whose sum is σ = 82701647725314. Its totient is φ = 82701647725312.

The previous prime is 82701647725309. The next prime is 82701647725429. The reversal of 82701647725313 is 31352774610728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49317149528689 + 33384498196624 = 7022617^2 + 5777932^2 .

It is a cyclic number.

It is not a de Polignac number, because 82701647725313 - 2² = 82701647725309 is a prime.

It is not a weakly prime, because it can be changed into another prime (82701647725513) 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, 41350823862656 + 41350823862657.

It is an arithmetic number, because the mean of its divisors is an integer number (41350823862657).

Almost surely, 2^{82701647725313} is an apocalyptic number.

It is an amenable number.

82701647725313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82701647725313 is an equidigital number, since it uses as much as digits as its factorization.

82701647725313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 82701647725313 in words is "eighty-two trillion, seven hundred one billion, six hundred forty-seven million, seven hundred twenty-five thousand, three hundred thirteen".