11332512 has 108 divisors (see below), whose sum is σ = 34324290. Its totient is φ = 3545856.

The previous prime is 11332507. The next prime is 11332547. The reversal of 11332512 is 21523311.

11332512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 2547216 = 2964^2 + 1596^2 .

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 17 ways as a sum of consecutive naturals, for example, 103914 + ... + 104022.

Almost surely, 2^11332512 is an apocalyptic number.

11332512 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 11332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162145).

11332512 is an abundant number, since it is smaller than the sum of its proper divisors (22991778).

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

11332512 is a wasteful number, since it uses less digits than its factorization.

11332512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

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

The square root of 11332512 is about 3366.3796577332. The cubic root of 11332512 is about 224.6167103963.

Adding to 11332512 its reverse (21523311), we get a palindrome (32855823).

The spelling of 11332512 in words is "eleven million, three hundred thirty-two thousand, five hundred twelve".