580764402241 has 9 divisors (see below), whose sum is σ = 582107998563. Its totient is φ = 579423905280.

The previous prime is 580764402187. The next prime is 580764402287. The reversal of 580764402241 is 142204467085.

The square root of 580764402241 is 762079.

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

It can be written as a sum of positive squares in only one way, i.e., 227215242241 + 353549160000 = 476671^2 + 594600^2 .

It is not a de Polignac number, because 580764402241 - 2¹⁷ = 580764271169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (580764402041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 586038256 + ... + 586039246.

It is an arithmetic number, because the mean of its divisors is an integer number (64678666507).

Almost surely, 2^580764402241 is an apocalyptic number.

580764402241 is the 762079-th square number.

580764402241 is the 381040-th centered octagonal number.

It is an amenable number.

580764402241 is a deficient number, since it is larger than the sum of its proper divisors (1343596322).

580764402241 is an frugal number, since it uses more digits than its factorization.

580764402241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 580764402241 in words is "five hundred eighty billion, seven hundred sixty-four million, four hundred two thousand, two hundred forty-one".