11512 has 8 divisors (see below), whose sum is σ = 21600. Its totient is φ = 5752.

The previous prime is 11503. The next prime is 11519. The reversal of 11512 is 21511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×11512² = 265052288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11519) by changing a digit.

11512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 712 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2¹¹⁵¹² is an apocalyptic number.

It is an amenable number.

11512 is a deficient number, since it is larger than the sum of its proper divisors (10088).

11512 is a wasteful number, since it uses less digits than its factorization.

11512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its digits is 10, while the sum is 10.

The square root of 11512 is about 107.2939886480. The cubic root of 11512 is about 22.5796355046.

Subtracting 11512 from its reverse (21511), we obtain a palindrome (9999).

The spelling of 11512 in words is "eleven thousand, five hundred twelve".