11250 has 30 divisors (see below), whose sum is σ = 30459. Its totient is φ = 3000.

The previous prime is 11243. The next prime is 11251. The reversal of 11250 is 5211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2601 + 8649 = 51^2 + 93^2 .

It is a tau number, because it is divible by the number of its divisors (30).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75.

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

It is a Curzon number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11251) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2248 + ... + 2252.

2¹¹²⁵⁰ is an apocalyptic number.

11250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11250

11250 is an abundant number, since it is smaller than the sum of its proper divisors (19209).

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

11250 is an equidigital number, since it uses as much as digits as its factorization.

11250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 10 counting only the distinct ones).

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

The square root of 11250 is about 106.0660171780. The cubic root of 11250 is about 22.4070237328.

Adding to 11250 its reverse (5211), we get a palindrome (16461).

The spelling of 11250 in words is "eleven thousand, two hundred fifty".