13000752 has 60 divisors (see below), whose sum is σ = 36705240. Its totient is φ = 4295424.

The previous prime is 13000751. The next prime is 13000753. The reversal of 13000752 is 25700031.

It is an interprime number because it is at equal distance from previous prime (13000751) and next prime (13000753).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13000751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19399 + ... + 20057.

It is an arithmetic number, because the mean of its divisors is an integer number (611754).

Almost surely, 2^13000752 is an apocalyptic number.

13000752 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 13000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352620).

13000752 is an abundant number, since it is smaller than the sum of its proper divisors (23704488).

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

13000752 is a wasteful number, since it uses less digits than its factorization.

13000752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13000752 is about 3605.6555575928. The cubic root of 13000752 is about 235.1380025403.

Adding to 13000752 its reverse (25700031), we get a palindrome (38700783).

The spelling of 13000752 in words is "thirteen million, seven hundred fifty-two", and thus it is an aban number.