13005048 has 64 divisors (see below), whose sum is σ = 37440000. Its totient is φ = 3687552.

The previous prime is 13005037. The next prime is 13005053. The reversal of 13005048 is 84050031.

13005048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33238 + ... + 33626.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 2^13005048 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 13005048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720000).

13005048 is an abundant number, since it is smaller than the sum of its proper divisors (24434952).

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

13005048 is a wasteful number, since it uses less digits than its factorization.

13005048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13005048 is about 3606.2512391679. The cubic root of 13005048 is about 235.1638995451.

Adding to 13005048 its reverse (84050031), we get a palindrome (97055079).

The spelling of 13005048 in words is "thirteen million, five thousand, forty-eight".