580131090 has 144 divisors (see below), whose sum is σ = 1914269760. Its totient is φ = 120536640.

The previous prime is 580131067. The next prime is 580131127. The reversal of 580131090 is 90131085.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42531 + ... + 54489.

It is an arithmetic number, because the mean of its divisors is an integer number (13293540).

Almost surely, 2^580131090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580131090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957134880).

580131090 is an abundant number, since it is smaller than the sum of its proper divisors (1334138670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580131090 is a wasteful number, since it uses less digits than its factorization.

580131090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 580131090 is about 24085.9106118079. The cubic root of 580131090 is about 834.0179162171.

The spelling of 580131090 in words is "five hundred eighty million, one hundred thirty-one thousand, ninety".