11533152 has 48 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3641472.

The previous prime is 11533141. The next prime is 11533163. The reversal of 11533152 is 25133511.

It is an interprime number because it is at equal distance from previous prime (11533141) and next prime (11533163).

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

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, 1338 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^11533152 is an apocalyptic number.

11533152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11533152 is an abundant number, since it is smaller than the sum of its proper divisors (20339808).

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

11533152 is a wasteful number, since it uses less digits than its factorization.

11533152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6347 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 11533152 is about 3396.0494696044. The cubic root of 11533152 is about 225.9345622015.

Adding to 11533152 its reverse (25133511), we get a palindrome (36666663).

The spelling of 11533152 in words is "eleven million, five hundred thirty-three thousand, one hundred fifty-two".