86382578082601 has 2 divisors, whose sum is σ = 86382578082602. Its totient is φ = 86382578082600.

The previous prime is 86382578082587. The next prime is 86382578082613. The reversal of 86382578082601 is 10628087528368.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61108068637225 + 25274509445376 = 7817165^2 + 5027376^2 .

It is a cyclic number.

It is not a de Polignac number, because 86382578082601 - 2¹¹ = 86382578080553 is a prime.

It is not a weakly prime, because it can be changed into another prime (86382578082631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43191289041300 + 43191289041301.

It is an arithmetic number, because the mean of its divisors is an integer number (43191289041301).

Almost surely, 2^{86382578082601} is an apocalyptic number.

It is an amenable number.

86382578082601 is a deficient number, since it is larger than the sum of its proper divisors (1).

86382578082601 is an equidigital number, since it uses as much as digits as its factorization.

86382578082601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 86382578082601 in words is "eighty-six trillion, three hundred eighty-two billion, five hundred seventy-eight million, eighty-two thousand, six hundred one".