13225280 has 56 divisors (see below), whose sum is σ = 32372808. Its totient is φ = 5142528.

The previous prime is 13225279. The next prime is 13225291. The reversal of 13225280 is 8252231.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 12334144 = 944^2 + 3512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11282 + ... + 12398.

Almost surely, 2^13225280 is an apocalyptic number.

13225280 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 13225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186404).

13225280 is an abundant number, since it is smaller than the sum of its proper divisors (19147528).

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

13225280 is a wasteful number, since it uses less digits than its factorization.

13225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13225280 is about 3636.6578062831. The cubic root of 13225280 is about 236.4839251456.

The spelling of 13225280 in words is "thirteen million, two hundred twenty-five thousand, two hundred eighty".