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11527 is a prime number
BaseRepresentation
bin10110100000111
3120210221
42310013
5332102
6125211
745415
oct26407
916727
1011527
11872a
126807
135329
1442b5
153637
hex2d07

11527 has 2 divisors, whose sum is σ = 11528. Its totient is φ = 11526.

The previous prime is 11519. The next prime is 11549. The reversal of 11527 is 72511.

Subtracting from 11527 its sum of digits (16), we obtain a palindrome (11511).

11527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11527 - 23 = 11519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11527.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11587) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5763 + 5764.

It is an arithmetic number, because the mean of its divisors is an integer number (5764).

211527 is an apocalyptic number.

11527 is a deficient number, since it is larger than the sum of its proper divisors (1).

11527 is an equidigital number, since it uses as much as digits as its factorization.

11527 is an odious number, because the sum of its binary digits is odd.

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

The square root of 11527 is about 107.3638672925. The cubic root of 11527 is about 22.5894382476.

The spelling of 11527 in words is "eleven thousand, five hundred twenty-seven".