13025600 has 84 divisors (see below), whose sum is σ = 36661344. Its totient is φ = 4462080.

The previous prime is 13025581. The next prime is 13025647. The reversal of 13025600 is 652031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10619 + ... + 11781.

Almost surely, 2^13025600 is an apocalyptic number.

13025600 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 13025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330672).

13025600 is an abundant number, since it is smaller than the sum of its proper divisors (23635744).

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

13025600 is a wasteful number, since it uses less digits than its factorization.

13025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13025600 is about 3609.0996107062. The cubic root of 13025600 is about 235.2877115903.

Adding to 13025600 its reverse (652031), we get a palindrome (13677631).

The spelling of 13025600 in words is "thirteen million, twenty-five thousand, six hundred".