13005242224 has 60 divisors (see below), whose sum is σ = 27423282000. Its totient is φ = 5972009472.

The previous prime is 13005242203. The next prime is 13005242251. The reversal of 13005242224 is 42224250031.

13005242224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526012 + ... + 550180.

It is an arithmetic number, because the mean of its divisors is an integer number (457054700).

Almost surely, 2^13005242224 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 13005242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711641000).

13005242224 is an abundant number, since it is smaller than the sum of its proper divisors (14418039776).

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

13005242224 is a wasteful number, since it uses less digits than its factorization.

13005242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24402 (or 24383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 13005242224 its reverse (42224250031), we get a palindrome (55229492255).

The spelling of 13005242224 in words is "thirteen billion, five million, two hundred forty-two thousand, two hundred twenty-four".