13508352 has 216 divisors, whose sum is σ = 46873008. Its totient is φ = 3686400.

The previous prime is 13508329. The next prime is 13508357. The reversal of 13508352 is 25380531.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13508357) 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, 329452 + ... + 329492.

Almost surely, 2^13508352 is an apocalyptic number.

13508352 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 13508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436504).

13508352 is an abundant number, since it is smaller than the sum of its proper divisors (33364656).

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

13508352 is a wasteful number, since it uses less digits than its factorization.

13508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13508352 is about 3675.3710016813. The cubic root of 13508352 is about 238.1592512783.

Adding to 13508352 its reverse (25380531), we get a palindrome (38888883).

The spelling of 13508352 in words is "thirteen million, five hundred eight thousand, three hundred fifty-two".