809814610609 has 9 divisors (see below), whose sum is σ = 854697731673. Its totient is φ = 767176590852.

The previous prime is 809814610597. The next prime is 809814610643. The reversal of 809814610609 is 906016418908.

The square root of 809814610609 is 899897.

It is a perfect power (a square), and thus also a powerful number.

809814610609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 809814610609 - 2¹³ = 809814602417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809814610909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17074362 + ... + 17121724.

Almost surely, 2^809814610609 is an apocalyptic number.

809814610609 is the 899897-th square number.

809814610609 is the 449949-th centered octagonal number.

It is an amenable number.

809814610609 is a deficient number, since it is larger than the sum of its proper divisors (44883121064).

809814610609 is an frugal number, since it uses more digits than its factorization.

809814610609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94764 (or 47382 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 809814610609 in words is "eight hundred nine billion, eight hundred fourteen million, six hundred ten thousand, six hundred nine".