11509152 has 48 divisors (see below), whose sum is σ = 30536352. Its totient is φ = 3795200.

The previous prime is 11509133. The next prime is 11509159. The reversal of 11509152 is 25190511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11509159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9103 + ... + 10289.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 2^11509152 is an apocalyptic number.

11509152 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 11509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268176).

11509152 is an abundant number, since it is smaller than the sum of its proper divisors (19027200).

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

11509152 is a wasteful number, since it uses less digits than its factorization.

11509152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 11509152 is about 3392.5141119824. The cubic root of 11509152 is about 225.7777332869. Note that the first 4 decimals are identical.

Adding to 11509152 its reverse (25190511), we get a palindrome (36699663).

The spelling of 11509152 in words is "eleven million, five hundred nine thousand, one hundred fifty-two".