321580860561 has 27 divisors (see below), whose sum is σ = 482415690523. Its totient is φ = 214356618000.

The previous prime is 321580860479. The next prime is 321580860577. The reversal of 321580860561 is 165068085123.

The square root of 321580860561 is 567081.

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

321580860561 is a `hidden beast` number, since 3 + 2 + 1 + 5 + 8 + 0 + 86 + 0 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135888814161 + 185692046400 = 368631^2 + 430920^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 321580860561 - 2⁹ = 321580860049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321580860361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45930061 + ... + 45937061.

Almost surely, 2^321580860561 is an apocalyptic number.

321580860561 is the 567081-st square number.

321580860561 is the 283541-st centered octagonal number.

It is an amenable number.

321580860561 is a deficient number, since it is larger than the sum of its proper divisors (160834829962).

321580860561 is an frugal number, since it uses more digits than its factorization.

321580860561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 321580860561 in words is "three hundred twenty-one billion, five hundred eighty million, eight hundred sixty thousand, five hundred sixty-one".