809321318401 has 8 divisors (see below), whose sum is σ = 837905809320. Its totient is φ = 780781951488.

The previous prime is 809321318363. The next prime is 809321318447. The reversal of 809321318401 is 104813123908.

It can be written as a sum of positive squares in 4 ways, for example, as 141752250000 + 667569068401 = 376500^2 + 817049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-809321318401 is a prime.

It is a super-3 number, since 3×809321318401³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809321315401) 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 7 ways as a sum of consecutive naturals, for example, 11244496 + ... + 11316241.

It is an arithmetic number, because the mean of its divisors is an integer number (104738226165).

Almost surely, 2^809321318401 is an apocalyptic number.

It is an amenable number.

809321318401 is a deficient number, since it is larger than the sum of its proper divisors (28584490919).

809321318401 is a wasteful number, since it uses less digits than its factorization.

809321318401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22562003.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 809321318401 in words is "eight hundred nine billion, three hundred twenty-one million, three hundred eighteen thousand, four hundred one".