580109199201 has 27 divisors (see below), whose sum is σ = 974768183571. Its totient is φ = 331481831184.

The previous prime is 580109199179. The next prime is 580109199209. The reversal of 580109199201 is 102991901085.

The square root of 580109199201 is 761649.

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., 569347211601 + 10761987600 = 754551^2 + 103740^2 .

It is not a de Polignac number, because 580109199201 - 2⁵ = 580109199169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (580109199209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15976495 + ... + 16012763.

Almost surely, 2^580109199201 is an apocalyptic number.

580109199201 is the 761649-th square number.

580109199201 is the 380825-th centered octagonal number.

It is an amenable number.

580109199201 is a deficient number, since it is larger than the sum of its proper divisors (394658984370).

580109199201 is an frugal number, since it uses more digits than its factorization.

580109199201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72558 (or 36279 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 580109199201 in words is "five hundred eighty billion, one hundred nine million, one hundred ninety-nine thousand, two hundred one".