Let's simplify the expression step by step.
Calculate \(26 \times 652\): \[ 26 \times 652 = 16952 \]
Calculate \(16 \times 652\): \[ 16 \times 652 = 10432 \]
Now, subtract the two results: \[ 16952 - 10432 = 6520 \]
Now divide by 5: \[ \frac{6520}{5} = 1304 \]
Next, calculate \(504 \times 4\): \[ 504 \times 4 = 2016 \]
Now divide by 9: \[ \frac{2016}{9} = 224 \]
Now combine the two results: \[ 1304 + 224 = 1528 \]
Thus, the final result of the expression \( (26 \times 652 - 16 \times 652) : 5 + 504 \times 4 : 9 \) is:
\[ \boxed{1528} \]