Probability Question!

Let n and k be positive integers such that n < 10^6 and  $$\binom{13}{13} + \binom{14}{13} + \binom{15}{13} + \dots + \binom{52}{13} + \binom{53}{13} + \binom{54}{13} = \binom{n}{k}.$$
Enter the ordered pair (n, k).