82052248009 has 2 divisors, whose sum is σ = 82052248010. Its totient is φ = 82052248008.

The previous prime is 82052247971. The next prime is 82052248051. The reversal of 82052248009 is 90084225028.

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., 73456176784 + 8596071225 = 271028^2 + 92715^2 .

It is a cyclic number.

It is not a de Polignac number, because 82052248009 - 2²⁷ = 81918030281 is a prime.

It is not a weakly prime, because it can be changed into another prime (82052248709) 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, 41026124004 + 41026124005.

It is an arithmetic number, because the mean of its divisors is an integer number (41026124005).

Almost surely, 2^82052248009 is an apocalyptic number.

It is an amenable number.

82052248009 is a deficient number, since it is larger than the sum of its proper divisors (1).

82052248009 is an equidigital number, since it uses as much as digits as its factorization.

82052248009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 82052248009 in words is "eighty-two billion, fifty-two million, two hundred forty-eight thousand, nine".