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About palindrome: please ask the math master to help write the solution (thinking) process! thank you
This six-digit number must be a multiple of 5, so the last digit is 5 or 0. Because it is a palindrome number, the last digit is 5, and the quotient is one or four digits, starting and ending with 5. Note that if two numbers with a mantissa of 5 are multiplied and the mantissa is 25, then this 6-digit number is 52■■25. Now, how much is the middle one? Divided by 52■■25, divided by 95. We found that the quotient was only 5 in the fourth place, so the first three digits of 5■ minus 5×95 left the maximum value of 54 and the minimum value of 45. Add this number to the last digit, the maximum is 549 and the minimum is 450. Therefore, the next digital quotient is 4 or 5. If the remainder of quotient 4 becomes 700, the next bit will be quotient 7, so this bit must be 5. From the nature of palindromes, the quotient is 5555, so this six-digit number is 527725.