state route 513 (sr 513) is a state highway in the u.s. state of washington, located entirely within the city of seattle in king county. the highway travels north as montlake boulevard from an interchange with sr 520 and over the montlake bridge to the university of washington campus in the university district. sr 513 continues past university village before it turns northeast onto sand point way and ends at the entrance to magnuson park in the sand point neighborhood.