  We study the anomalies of a charge $Q_2$ self-dual string solution in the
Coulomb branch of $Q_5$ M5-branes. Cancellation of these anomalies allows us to
determine the anomaly of the zero-modes on the self-dual string and their
scaling with $Q_2$ and $Q_5$. The dimensional reduction of the five-brane
anomalous couplings then lead to certain anomalous couplings for D-branes.
