320583572401 has 3 divisors (see below), whose sum is σ = 320584138603. Its totient is φ = 320583006200.

The previous prime is 320583572333. The next prime is 320583572447. The reversal of 320583572401 is 104275385023.

The square root of 320583572401 is 566201.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 104275385023 = 77369 ⋅1347767.

It can be written as a sum of positive squares in only one way, i.e., 232469586801 + 88113985600 = 482151^2 + 296840^2 .

It is not a de Polignac number, because 320583572401 - 2⁷ = 320583572273 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320583522401) 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 in 2 ways as a sum of consecutive naturals, for example, 283101 + ... + 849301.

Almost surely, 2^320583572401 is an apocalyptic number.

320583572401 is the 566201-st square number.

320583572401 is the 283101-st centered octagonal number.

It is an amenable number.

320583572401 is a deficient number, since it is larger than the sum of its proper divisors (566202).

320583572401 is an frugal number, since it uses more digits than its factorization.

320583572401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132402 (or 566201 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 320583572401 in words is "three hundred twenty billion, five hundred eighty-three million, five hundred seventy-two thousand, four hundred one".