1. Stating the problem: Calculate the sum of the numbers 656565656565566556565656565655665 and 1. 2. Adding the numbers: We perform the addition digit by digit, starting from the right. 3. Since adding 1 to the last digit 5 results in 6 with no carry-over, the number increases by 1 at its last digit only. Final answer: $$656565656565566556565656565655666$$