11251 has 2 divisors, whose sum is σ = 11252. Its totient is φ = 11250.

The previous prime is 11243. The next prime is 11257. The reversal of 11251 is 15211.

It is a happy number.

11251 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11251 - 2³ = 11243 is a prime.

It is equal to p₁₃₆₀ and since 11251 and 1360 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (11257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5625 + 5626.

It is an arithmetic number, because the mean of its divisors is an integer number (5626).

2¹¹²⁵¹ is an apocalyptic number.

11251 is a deficient number, since it is larger than the sum of its proper divisors (1).

11251 is an equidigital number, since it uses as much as digits as its factorization.

11251 is an evil number, because the sum of its binary digits is even.

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

The square root of 11251 is about 106.0707311184. The cubic root of 11251 is about 22.4076876249.

Adding to 11251 its reverse (15211), we get a palindrome (26462).

It can be divided in two parts, 11 and 251, that added together give a palindrome (262).

The spelling of 11251 in words is "eleven thousand, two hundred fifty-one".