There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains same digits only.

Can you find that number ?

142857*1=142857 142857*2=285714 142857*3=428571 142857*4=571428 142857*5=714285 142857*6=857142

so the answer is "142857"

My house number is such that, when divided by 2, 3, 4, 5 or 6 it will always leave a remainder of 1.

However, when divided by 11 there is no remainder. What is my house number?