11057 has 2 divisors, whose sum is σ = 11058. Its totient is φ = 11056.

The previous prime is 11047. The next prime is 11059. The reversal of 11057 is 75011.

11057 is nontrivially palindromic in base 7.

11057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11057 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 3136 = 89^2 + 56^2 .

It is an emirp because it is prime and its reverse (75011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11057 - 2⁶ = 10993 is a prime.

Together with 11059, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11057.

It is not a weakly prime, because it can be changed into another prime (11059) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5528 + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (5529).

2¹¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

11057 is a deficient number, since it is larger than the sum of its proper divisors (1).

11057 is an equidigital number, since it uses as much as digits as its factorization.

11057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 11057 is about 105.1522705413. The cubic root of 11057 is about 22.2781489458.

Adding to 11057 its reverse (75011), we get a palindrome (86068).

The spelling of 11057 in words is "eleven thousand, fifty-seven".