320581307601 has 45 divisors (see below), whose sum is σ = 488510818411. Its totient is φ = 209511748368.

The previous prime is 320581307569. The next prime is 320581307611. The reversal of 320581307601 is 106703185023.

The square root of 320581307601 is 566199.

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

320581307601 is a `hidden beast` number, since 3 + 2 + 0 + 581 + 3 + 0 + 76 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231106140225 + 89475167376 = 480735^2 + 299124^2 .

It is not a de Polignac number, because 320581307601 - 2⁵ = 320581307569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320581307611) 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, 270076330 + ... + 270077516.

Almost surely, 2^320581307601 is an apocalyptic number.

320581307601 is the 566199-th square number.

320581307601 is the 283100-th centered octagonal number.

It is an amenable number.

320581307601 is a deficient number, since it is larger than the sum of its proper divisors (167929510810).

320581307601 is an frugal number, since it uses more digits than its factorization.

320581307601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 320581307601 by its sum of digits (36), we get a square (11540927073636 = 3397194²).

The spelling of 320581307601 in words is "three hundred twenty billion, five hundred eighty-one million, three hundred seven thousand, six hundred one".