13252800 has 168 divisors, whose sum is σ = 47621952. Its totient is φ = 3200000.

The previous prime is 13252793. The next prime is 13252829. The reversal of 13252800 is 825231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52675 + ... + 52925.

It is an arithmetic number, because the mean of its divisors is an integer number (283464).

Almost surely, 2^13252800 is an apocalyptic number.

13252800 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 13252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976).

13252800 is an abundant number, since it is smaller than the sum of its proper divisors (34369152).

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

13252800 is a wasteful number, since it uses less digits than its factorization.

13252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13252800 is about 3640.4395339025. The cubic root of 13252800 is about 236.6478417436.

It can be divided in two parts, 132 and 52800, that multiplied together give a square (6969600 = 2640²).

The spelling of 13252800 in words is "thirteen million, two hundred fifty-two thousand, eight hundred".