13525253200 has 120 divisors (see below), whose sum is σ = 32954765760. Its totient is φ = 5333913600.

The previous prime is 13525253197. The next prime is 13525253207. The reversal of 13525253200 is 235252531.

It is a super-2 number, since 2×13525253200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525253207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13928715 + ... + 13929685.

It is an arithmetic number, because the mean of its divisors is an integer number (274623048).

Almost surely, 2^13525253200 is an apocalyptic number.

13525253200 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 13525253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477382880).

13525253200 is an abundant number, since it is smaller than the sum of its proper divisors (19429512560).

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

13525253200 is a wasteful number, since it uses less digits than its factorization.

13525253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 13525253200 in words is "thirteen billion, five hundred twenty-five million, two hundred fifty-three thousand, two hundred".