If a natural number looks the same from left to right and from right to left, it is called a palindromic number, for example, 232 and 4114 are both palindromic numbers. There is a sixteen-digit number 5002500550035006. Please add some numbers between some digits of this number to make it a palindromic number. What is the minimum sum of the digits of the obtained palindromic number?
如果一个自然数从左往右看和从右往左看都一样，则称这个数为回文数，比如232，4114都是回文数．现有一个十六位数5002500550035006，请在这个数的某些数位之间加一些数字，使它变成回文数，所得到的回文数各个数位上数的和最小是多少．
<gadget id="calculator">5 + 6 + 2 + 5 + 3 + 5 + 5 + 3 + 5 + 2 + 6 + 5</gadget>
<output>52</output>

<result>52</result>