11257 has 2 divisors, whose sum is σ = 11258. Its totient is φ = 11256.

The previous prime is 11251. The next prime is 11261. The reversal of 11257 is 75211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 441 = 104^2 + 21^2 .

It is an emirp because it is prime and its reverse (75211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11257 - 2¹¹ = 9209 is a prime.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 11257.

It is not a weakly prime, because it can be changed into another prime (11251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5628 + 5629.

It is an arithmetic number, because the mean of its divisors is an integer number (5629).

2¹¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

11257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11257 is an equidigital number, since it uses as much as digits as its factorization.

11257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70, while the sum is 16.

The square root of 11257 is about 106.0990103630. The cubic root of 11257 is about 22.4116701519.

Adding to 11257 its reverse (75211), we get a palindrome (86468).

It can be divided in two parts, 1125 and 7, that multiplied together give a triangular number (7875 = T₁₂₅).

The spelling of 11257 in words is "eleven thousand, two hundred fifty-seven".