130352580 has 72 divisors (see below), whose sum is σ = 397686744. Its totient is φ = 34560000.

The previous prime is 130352561. The next prime is 130352581. The reversal of 130352580 is 85253031.

130352580 is a `hidden beast` number, since 1 + 30 + 3 + 52 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 118200384 = 3486^2 + 10872^2 .

It is a super-2 number, since 2×130352580² = 33983590225312800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130352581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30580 + ... + 34580.

It is an arithmetic number, because the mean of its divisors is an integer number (5523427).

Almost surely, 2^130352580 is an apocalyptic number.

130352580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130352580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198843372).

130352580 is an abundant number, since it is smaller than the sum of its proper divisors (267334164).

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

130352580 is a wasteful number, since it uses less digits than its factorization.

130352580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 130352580 is about 11417.2054374089. The cubic root of 130352580 is about 507.0372625298.

The spelling of 130352580 in words is "one hundred thirty million, three hundred fifty-two thousand, five hundred eighty".