82210382074729 has 2 divisors, whose sum is σ = 82210382074730. Its totient is φ = 82210382074728.

The previous prime is 82210382074697. The next prime is 82210382074757. The reversal of 82210382074729 is 92747028301228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52740304111504 + 29470077963225 = 7262252^2 + 5428635^2 .

It is a cyclic number.

It is not a de Polignac number, because 82210382074729 - 2⁵ = 82210382074697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82210382074729.

It is not a weakly prime, because it can be changed into another prime (82210382078729) 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, 41105191037364 + 41105191037365.

It is an arithmetic number, because the mean of its divisors is an integer number (41105191037365).

Almost surely, 2^{82210382074729} is an apocalyptic number.

It is an amenable number.

82210382074729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82210382074729 is an equidigital number, since it uses as much as digits as its factorization.

82210382074729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 82210382074729 in words is "eighty-two trillion, two hundred ten billion, three hundred eighty-two million, seventy-four thousand, seven hundred twenty-nine".