11521152 has 96 divisors (see below), whose sum is σ = 33852780. Its totient is φ = 3760128.

The previous prime is 11521051. The next prime is 11521187. The reversal of 11521152 is 25112511.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 69696 = 3384^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84028 + ... + 84164.

Almost surely, 2^11521152 is an apocalyptic number.

11521152 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 11521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926390).

11521152 is an abundant number, since it is smaller than the sum of its proper divisors (22331628).

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

11521152 is a wasteful number, since it uses less digits than its factorization.

11521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 100, while the sum is 18.

The square root of 11521152 is about 3394.2822510805. The cubic root of 11521152 is about 225.8561749687.

Adding to 11521152 its reverse (25112511), we get a palindrome (36633663).

It can be divided in two parts, 1152 and 1152, that added together give a square (2304 = 48²).

The spelling of 11521152 in words is "eleven million, five hundred twenty-one thousand, one hundred fifty-two".