13005612 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4013568.

The previous prime is 13005599. The next prime is 13005623. The reversal of 13005612 is 21650031.

13005612 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48214 + ... + 48482.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^13005612 is an apocalyptic number.

13005612 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 13005612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13005612 is an abundant number, since it is smaller than the sum of its proper divisors (22375188).

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

13005612 is a wasteful number, since it uses less digits than its factorization.

13005612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13005612 is about 3606.3294358669. The cubic root of 13005612 is about 235.1672990077.

Adding to 13005612 its reverse (21650031), we get a palindrome (34655643).

The spelling of 13005612 in words is "thirteen million, five thousand, six hundred twelve".