809638281050961 has 32 divisors (see below), whose sum is σ = 1088830707148800. Its totient is φ = 535113532296000.

The previous prime is 809638281050941. The next prime is 809638281051023. The reversal of 809638281050961 is 169050182836908.

It is not a de Polignac number, because 809638281050961 - 2⁹ = 809638281050449 is a prime.

It is a super-2 number, since 2×809638281050961² (a number of 31 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 809638281050892 and 809638281050901.

It is not an unprimeable number, because it can be changed into a prime (809638281050941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3626049055 + ... + 3626272331.

It is an arithmetic number, because the mean of its divisors is an integer number (34025959598400).

Almost surely, 2^{809638281050961} is an apocalyptic number.

It is an amenable number.

809638281050961 is a deficient number, since it is larger than the sum of its proper divisors (279192426097839).

809638281050961 is a wasteful number, since it uses less digits than its factorization.

809638281050961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235749.

The product of its (nonzero) digits is 44789760, while the sum is 66.

The spelling of 809638281050961 in words is "eight hundred nine trillion, six hundred thirty-eight billion, two hundred eighty-one million, fifty thousand, nine hundred sixty-one".