11515152 has 80 divisors (see below), whose sum is σ = 32908608. Its totient is φ = 3440640.

The previous prime is 11515139. The next prime is 11515181. The reversal of 11515152 is 25151511.

11515152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 59568 + ... + 59760.

Almost surely, 2^11515152 is an apocalyptic number.

11515152 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 11515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454304).

11515152 is an abundant number, since it is smaller than the sum of its proper divisors (21393456).

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

11515152 is a wasteful number, since it uses less digits than its factorization.

11515152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its digits is 250, while the sum is 21.

The square root of 11515152 is about 3393.3982966932. The cubic root of 11515152 is about 225.8169609399.

Adding to 11515152 its reverse (25151511), we get a palindrome (36666663).

The spelling of 11515152 in words is "eleven million, five hundred fifteen thousand, one hundred fifty-two".