82569264721 has 2 divisors, whose sum is σ = 82569264722. Its totient is φ = 82569264720.

The previous prime is 82569264719. The next prime is 82569264769. The reversal of 82569264721 is 12746296528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45460636225 + 37108628496 = 213215^2 + 192636^2 .

It is a cyclic number.

It is not a de Polignac number, because 82569264721 - 2¹ = 82569264719 is a prime.

It is a super-3 number, since 3×82569264721³ (a number of 34 digits) contains 333 as substring.

Together with 82569264719, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82569264781) 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, 41284632360 + 41284632361.

It is an arithmetic number, because the mean of its divisors is an integer number (41284632361).

Almost surely, 2^82569264721 is an apocalyptic number.

It is an amenable number.

82569264721 is a deficient number, since it is larger than the sum of its proper divisors (1).

82569264721 is an equidigital number, since it uses as much as digits as its factorization.

82569264721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2903040, while the sum is 52.

The spelling of 82569264721 in words is "eighty-two billion, five hundred sixty-nine million, two hundred sixty-four thousand, seven hundred twenty-one".