11538512 has 40 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 5330432.

The previous prime is 11538497. The next prime is 11538523. The reversal of 11538512 is 21583511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15689 + ... + 16407.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^11538512 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 11538512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

11538512 is an abundant number, since it is smaller than the sum of its proper divisors (12567088).

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

11538512 is a wasteful number, since it uses less digits than its factorization.

11538512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its digits is 1200, while the sum is 26.

The square root of 11538512 is about 3396.8385301630. The cubic root of 11538512 is about 225.9695575985.

The spelling of 11538512 in words is "eleven million, five hundred thirty-eight thousand, five hundred twelve".