We need to use divisibility rules.
First, because the number is divisible by 5, we know that $c=0,5$.
But, if $c=0$, then $a=0$, since that implies that the 6 digit number is divisible by 10, implying that it also divides 100. But, this would make the number not a 6 digit number. Hence, $c=5$.
But, if $c=5$, $a=2$, since that means that the number divides 5 but not 2, implying that the last two digits of the number must be 25 (any odd number squared is congruent to 1 mod 4). So, we know our number is of the form $2b5025$.
Next, since the number is divisible by 11, $a+c+a-b-c=2a-b$ is divisible by 11. So, 11 divides $4-b$, which implies $b=4$. So, our final answer is $$245025$$