82636557518681 has 2 divisors, whose sum is σ = 82636557518682. Its totient is φ = 82636557518680.

The previous prime is 82636557518651. The next prime is 82636557518687. The reversal of 82636557518681 is 18681575563628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54764662099225 + 27871895419456 = 7400315^2 + 5279384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82636557518681 is a prime.

It is a super-2 number, since 2×82636557518681² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82636557518687) 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, 41318278759340 + 41318278759341.

It is an arithmetic number, because the mean of its divisors is an integer number (41318278759341).

Almost surely, 2^{82636557518681} is an apocalyptic number.

It is an amenable number.

82636557518681 is a deficient number, since it is larger than the sum of its proper divisors (1).

82636557518681 is an equidigital number, since it uses as much as digits as its factorization.

82636557518681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608000, while the sum is 71.

The spelling of 82636557518681 in words is "eighty-two trillion, six hundred thirty-six billion, five hundred fifty-seven million, five hundred eighteen thousand, six hundred eighty-one".