809106401 has 2 divisors, whose sum is σ = 809106402. Its totient is φ = 809106400.

The previous prime is 809106371. The next prime is 809106433. The reversal of 809106401 is 104601908.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 679123600 + 129982801 = 26060^2 + 11401^2 .

It is a cyclic number.

It is not a de Polignac number, because 809106401 - 2¹⁰ = 809105377 is a prime.

It is not a weakly prime, because it can be changed into another prime (809106451) 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, 404553200 + 404553201.

It is an arithmetic number, because the mean of its divisors is an integer number (404553201).

Almost surely, 2^809106401 is an apocalyptic number.

It is an amenable number.

809106401 is a deficient number, since it is larger than the sum of its proper divisors (1).

809106401 is an equidigital number, since it uses as much as digits as its factorization.

809106401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 809106401 is about 28444.7956751319. The cubic root of 809106401 is about 931.8268330763.

The spelling of 809106401 in words is "eight hundred nine million, one hundred six thousand, four hundred one".