13252400 has 60 divisors (see below), whose sum is σ = 36394992. Its totient is φ = 4542720.

The previous prime is 13252397. The next prime is 13252409. The reversal of 13252400 is 425231.

It is a super-2 number, since 2×13252400² = 351252211520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13252409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434 + ... + 5166.

Almost surely, 2^13252400 is an apocalyptic number.

13252400 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 13252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197496).

13252400 is an abundant number, since it is smaller than the sum of its proper divisors (23142592).

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

13252400 is a wasteful number, since it uses less digits than its factorization.

13252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13252400 is about 3640.3845950668. The cubic root of 13252400 is about 236.6454608609.

Adding to 13252400 its reverse (425231), we get a palindrome (13677631).

The spelling of 13252400 in words is "thirteen million, two hundred fifty-two thousand, four hundred".