11052 has 18 divisors (see below), whose sum is σ = 28028. Its totient is φ = 3672.

The previous prime is 11047. The next prime is 11057. The reversal of 11052 is 25011.

It is a happy number.

11052 is nontrivially palindromic in base 11.

11052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11047) and next prime (11057).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118 + ... + 189.

2¹¹⁰⁵² is an apocalyptic number.

11052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11052 is an abundant number, since it is smaller than the sum of its proper divisors (16976).

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

11052 is a wasteful number, since it uses less digits than its factorization.

11052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11052 is about 105.1284928076. The cubic root of 11052 is about 22.2747903633.

Adding to 11052 its reverse (25011), we get a palindrome (36063).

The spelling of 11052 in words is "eleven thousand, fifty-two".