13258752 has 104 divisors (see below), whose sum is σ = 38530464. Its totient is φ = 4030464.

The previous prime is 13258727. The next prime is 13258757. The reversal of 13258752 is 25785231.

It is a tau number, because it is divible by the number of its divisors (104).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13258757) 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, 159703 + ... + 159785.

Almost surely, 2^13258752 is an apocalyptic number.

13258752 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 13258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265232).

13258752 is an abundant number, since it is smaller than the sum of its proper divisors (25271712).

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

13258752 is an equidigital number, since it uses as much as digits as its factorization.

13258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 13258752 is about 3641.2569258431. The cubic root of 13258752 is about 236.6832636204.

The spelling of 13258752 in words is "thirteen million, two hundred fifty-eight thousand, seven hundred fifty-two".