13002752 has 48 divisors (see below), whose sum is σ = 29746080. Its totient is φ = 5566464.

The previous prime is 13002721. The next prime is 13002767. The reversal of 13002752 is 25720031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13883 + ... + 14789.

It is an arithmetic number, because the mean of its divisors is an integer number (619710).

Almost surely, 2^13002752 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 13002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873040).

13002752 is an abundant number, since it is smaller than the sum of its proper divisors (16743328).

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

13002752 is an frugal number, since it uses more digits than its factorization.

13002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 13002752 is about 3605.9328890039. The cubic root of 13002752 is about 235.1500595836.

Adding to 13002752 its reverse (25720031), we get a palindrome (38722783).

The spelling of 13002752 in words is "thirteen million, two thousand, seven hundred fifty-two".