809345601 has 45 divisors (see below), whose sum is σ = 1263743481. Its totient is φ = 516178656.

The previous prime is 809345591. The next prime is 809345609. The reversal of 809345601 is 106543908.

The square root of 809345601 is 28449.

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

809345601 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 45 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40947201 + 768398400 = 6399^2 + 27720^2 .

It is not a de Polignac number, because 809345601 - 2¹¹ = 809343553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (809345609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7425135 + ... + 7425243.

Almost surely, 2^809345601 is an apocalyptic number.

809345601 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

809345601 is the 28449-th square number.

809345601 is the 14225-th centered octagonal number.

It is an amenable number.

809345601 is a deficient number, since it is larger than the sum of its proper divisors (454397880).

809345601 is an equidigital number, since it uses as much as digits as its factorization.

809345601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 809345601 is about 931.9186508384.

Multiplying 809345601 by its sum of digits (36), we get a square (29136441636 = 170694²).

The spelling of 809345601 in words is "eight hundred nine million, three hundred forty-five thousand, six hundred one".