130580 has 12 divisors (see below), whose sum is σ = 274260. Its totient is φ = 52224.

The previous prime is 130579. The next prime is 130589. The reversal of 130580 is 85031.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 103684 = 164^2 + 322^2 .

It is a super-3 number, since 3×130580³ = 6679612173336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3245 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (22855).

2¹³⁰⁵⁸⁰ is an apocalyptic number.

130580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130580 is an abundant number, since it is smaller than the sum of its proper divisors (143680).

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

130580 is a wasteful number, since it uses less digits than its factorization.

130580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 130580 is about 361.3585477057. The cubic root of 130580 is about 50.7331959216.

The spelling of 130580 in words is "one hundred thirty thousand, five hundred eighty".