809895281845249 has 2 divisors, whose sum is σ = 809895281845250. Its totient is φ = 809895281845248.

The previous prime is 809895281845171. The next prime is 809895281845313. The reversal of 809895281845249 is 942548182598908.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 473666472654400 + 336228809190849 = 21763880^2 + 18336543^2 .

It is a cyclic number.

It is not a de Polignac number, because 809895281845249 - 2³¹ = 809893134361601 is a prime.

It is not a weakly prime, because it can be changed into another prime (809895281845049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404947640922624 + 404947640922625.

It is an arithmetic number, because the mean of its divisors is an integer number (404947640922625).

Almost surely, 2^{809895281845249} is an apocalyptic number.

It is an amenable number.

809895281845249 is a deficient number, since it is larger than the sum of its proper divisors (1).

809895281845249 is an equidigital number, since it uses as much as digits as its factorization.

809895281845249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4777574400, while the sum is 82.

The spelling of 809895281845249 in words is "eight hundred nine trillion, eight hundred ninety-five billion, two hundred eighty-one million, eight hundred forty-five thousand, two hundred forty-nine".