82730716732129 has 2 divisors, whose sum is σ = 82730716732130. Its totient is φ = 82730716732128.

The previous prime is 82730716732127. The next prime is 82730716732177. The reversal of 82730716732129 is 92123761703728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81945945760000 + 784770972129 = 9052400^2 + 885873^2 .

It is a cyclic number.

It is not a de Polignac number, because 82730716732129 - 2¹ = 82730716732127 is a prime.

Together with 82730716732127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82730716732127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41365358366064 + 41365358366065.

It is an arithmetic number, because the mean of its divisors is an integer number (41365358366065).

Almost surely, 2^{82730716732129} is an apocalyptic number.

It is an amenable number.

82730716732129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82730716732129 is an equidigital number, since it uses as much as digits as its factorization.

82730716732129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 82730716732129 in words is "eighty-two trillion, seven hundred thirty billion, seven hundred sixteen million, seven hundred thirty-two thousand, one hundred twenty-nine".