320579042809 has 9 divisors (see below), whose sum is σ = 322149944133. Its totient is φ = 319015772892.

The previous prime is 320579042803. The next prime is 320579042863. The reversal of 320579042809 is 908240975023.

The square root of 320579042809 is 566197.

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

It is not a de Polignac number, because 320579042809 - 2¹⁵ = 320579010041 is a prime.

It is a super-2 number, since 2×320579042809² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320579042803) 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, 126260662 + ... + 126263200.

It is an arithmetic number, because the mean of its divisors is an integer number (35794438237).

Almost surely, 2^320579042809 is an apocalyptic number.

320579042809 is the 566197-th square number.

320579042809 is the 283099-th centered octagonal number.

It is an amenable number.

320579042809 is a deficient number, since it is larger than the sum of its proper divisors (1570901324).

320579042809 is an frugal number, since it uses more digits than its factorization.

320579042809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 320579042809 by its sum of digits (49), we get a square (15708373097641 = 3963379²).

The spelling of 320579042809 in words is "three hundred twenty billion, five hundred seventy-nine million, forty-two thousand, eight hundred nine".