13253152 has 48 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 5758720.

The previous prime is 13253147. The next prime is 13253153. The reversal of 13253152 is 25135231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13253153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7278 + ... + 8914.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^13253152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

13253152 is an abundant number, since it is smaller than the sum of its proper divisors (16466720).

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

13253152 is a wasteful number, since it uses less digits than its factorization.

13253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 13253152 is about 3640.4878793920. The cubic root of 13253152 is about 236.6499368808.

Adding to 13253152 its reverse (25135231), we get a palindrome (38388383).

The spelling of 13253152 in words is "thirteen million, two hundred fifty-three thousand, one hundred fifty-two".