809811306249 has 64 divisors (see below), whose sum is σ = 1203594163200. Its totient is φ = 480233318400.

The previous prime is 809811306211. The next prime is 809811306259. The reversal of 809811306249 is 942603118908.

It is not a de Polignac number, because 809811306249 - 2⁸ = 809811305993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (809811306209) 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 in 63 ways as a sum of consecutive naturals, for example, 115370662 + ... + 115377680.

It is an arithmetic number, because the mean of its divisors is an integer number (18806158800).

Almost surely, 2^809811306249 is an apocalyptic number.

809811306249 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

809811306249 is a deficient number, since it is larger than the sum of its proper divisors (393782856951).

809811306249 is a wasteful number, since it uses less digits than its factorization.

809811306249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526.

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 809811306249 in words is "eight hundred nine billion, eight hundred eleven million, three hundred six thousand, two hundred forty-nine".