82056331140737 has 2 divisors, whose sum is σ = 82056331140738. Its totient is φ = 82056331140736.

The previous prime is 82056331140727. The next prime is 82056331140767. The reversal of 82056331140737 is 73704113365028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55062944634481 + 26993386506256 = 7420441^2 + 5195516^2 .

It is a cyclic number.

It is not a de Polignac number, because 82056331140737 - 2³² = 82052036173441 is a prime.

It is a super-3 number, since 3×82056331140737³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82056331140727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41028165570368 + 41028165570369.

It is an arithmetic number, because the mean of its divisors is an integer number (41028165570369).

Almost surely, 2^{82056331140737} is an apocalyptic number.

It is an amenable number.

82056331140737 is a deficient number, since it is larger than the sum of its proper divisors (1).

82056331140737 is an equidigital number, since it uses as much as digits as its factorization.

82056331140737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 82056331140737 in words is "eighty-two trillion, fifty-six billion, three hundred thirty-one million, one hundred forty thousand, seven hundred thirty-seven".