13052320 has 72 divisors (see below), whose sum is σ = 32265324. Its totient is φ = 4988928.

The previous prime is 13052279. The next prime is 13052329. The reversal of 13052320 is 2325031.

It can be written as a sum of positive squares in 6 ways, for example, as 5588496 + 7463824 = 2364^2 + 2732^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13052294 and 13052303.

It is not an unprimeable number, because it can be changed into a prime (13052329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134512 + ... + 134608.

Almost surely, 2^13052320 is an apocalyptic number.

13052320 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 13052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132662).

13052320 is an abundant number, since it is smaller than the sum of its proper divisors (19213004).

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

13052320 is an equidigital number, since it uses as much as digits as its factorization.

13052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13052320 is about 3612.7994685562. The cubic root of 13052320 is about 235.4484871320.

Adding to 13052320 its reverse (2325031), we get a palindrome (15377351).

It can be divided in two parts, 1305 and 2320, that multiplied together give a square (3027600 = 1740²).

The spelling of 13052320 in words is "thirteen million, fifty-two thousand, three hundred twenty".