809222565121 has 2 divisors, whose sum is σ = 809222565122. Its totient is φ = 809222565120.

The previous prime is 809222565089. The next prime is 809222565127. The reversal of 809222565121 is 121565222908.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 804501363600 + 4721201521 = 896940^2 + 68711^2 .

It is a cyclic number.

It is not a de Polignac number, because 809222565121 - 2⁵ = 809222565089 is a prime.

It is a super-2 number, since 2×809222565121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (809222565127) 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, 404611282560 + 404611282561.

It is an arithmetic number, because the mean of its divisors is an integer number (404611282561).

Almost surely, 2^809222565121 is an apocalyptic number.

It is an amenable number.

809222565121 is a deficient number, since it is larger than the sum of its proper divisors (1).

809222565121 is an equidigital number, since it uses as much as digits as its factorization.

809222565121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 809222565121 in words is "eight hundred nine billion, two hundred twenty-two million, five hundred sixty-five thousand, one hundred twenty-one".