13629252 has 72 divisors (see below), whose sum is σ = 39861696. Its totient is φ = 3592512.

The previous prime is 13629247. The next prime is 13629281. The reversal of 13629252 is 25292631.

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, 6753 + ... + 8535.

Almost surely, 2^13629252 is an apocalyptic number.

13629252 is a gapful number since it is divisible by the number (12) 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 13629252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930848).

13629252 is an abundant number, since it is smaller than the sum of its proper divisors (26232444).

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

13629252 is a wasteful number, since it uses less digits than its factorization.

13629252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1808 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 13629252 is about 3691.7816836861. The cubic root of 13629252 is about 238.8676519631.

The spelling of 13629252 in words is "thirteen million, six hundred twenty-nine thousand, two hundred fifty-two".