809601601 has 2 divisors, whose sum is σ = 809601602. Its totient is φ = 809601600.

The previous prime is 809601593. The next prime is 809601607. The reversal of 809601601 is 106106908.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441000000 + 368601601 = 21000^2 + 19199^2 .

It is a cyclic number.

It is not a de Polignac number, because 809601601 - 2³ = 809601593 is a prime.

It is not a weakly prime, because it can be changed into another prime (809601607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404800800 + 404800801.

It is an arithmetic number, because the mean of its divisors is an integer number (404800801).

Almost surely, 2^809601601 is an apocalyptic number.

It is an amenable number.

809601601 is a deficient number, since it is larger than the sum of its proper divisors (1).

809601601 is an equidigital number, since it uses as much as digits as its factorization.

809601601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 809601601 is about 28453.4989236825. The cubic root of 809601601 is about 932.0168973003.

The spelling of 809601601 in words is "eight hundred nine million, six hundred one thousand, six hundred one".