82413855324529 has 2 divisors, whose sum is σ = 82413855324530. Its totient is φ = 82413855324528.

The previous prime is 82413855324481. The next prime is 82413855324551. The reversal of 82413855324529 is 92542355831428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62941183868304 + 19472671456225 = 7933548^2 + 4412785^2 .

It is a cyclic number.

It is not a de Polignac number, because 82413855324529 - 2³⁵ = 82379495586161 is a prime.

It is not a weakly prime, because it can be changed into another prime (82413855324589) 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, 41206927662264 + 41206927662265.

It is an arithmetic number, because the mean of its divisors is an integer number (41206927662265).

Almost surely, 2^{82413855324529} is an apocalyptic number.

It is an amenable number.

82413855324529 is a deficient number, since it is larger than the sum of its proper divisors (1).

82413855324529 is an equidigital number, since it uses as much as digits as its factorization.

82413855324529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944000, while the sum is 61.

The spelling of 82413855324529 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-five million, three hundred twenty-four thousand, five hundred twenty-nine".