13725252 has 36 divisors (see below), whose sum is σ = 34922160. Its totient is φ = 4545072.

The previous prime is 13725247. The next prime is 13725259. The reversal of 13725252 is 25252731.

13725252 is a `hidden beast` number, since 137 + 2 + 525 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13725259) 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, 4699 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (970060).

Almost surely, 2^13725252 is an apocalyptic number.

13725252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13725252 is an abundant number, since it is smaller than the sum of its proper divisors (21196908).

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

13725252 is a wasteful number, since it uses less digits than its factorization.

13725252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 13725252 is about 3704.7607210183. The cubic root of 13725252 is about 239.4271755550.

Adding to 13725252 its reverse (25252731), we get a palindrome (38977983).

The spelling of 13725252 in words is "thirteen million, seven hundred twenty-five thousand, two hundred fifty-two".