13058560 has 40 divisors (see below), whose sum is σ = 31316076. Its totient is φ = 5222400.

The previous prime is 13058557. The next prime is 13058561. The reversal of 13058560 is 6585031.

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 2509056 = 3248^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13058561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 5110.

Almost surely, 2^13058560 is an apocalyptic number.

13058560 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 13058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658038).

13058560 is an abundant number, since it is smaller than the sum of its proper divisors (18257516).

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

13058560 is an frugal number, since it uses more digits than its factorization.

13058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 13058560 is about 3613.6629615945. The cubic root of 13058560 is about 235.4860019057.

The spelling of 13058560 in words is "thirteen million, fifty-eight thousand, five hundred sixty".