sr 513 begins at the intersection of montlake boulevard and lake washington boulevard in the montlake neighborhood of seattle, part of a partial cloverleaf interchange with sr 520. the highway travels north on montlake boulevard and crosses the montlake cut section of the lake washington ship canal on the montlake bridge. the bascule drawbridge is designated as a city landmark and has been listed on the national register of historic places since 1982. sr 513 continues north through the university of washington campus within the university district and passes husky stadium and the campus light rail station before being joined by the burke-gilman trail near the hec edmundson pavilion. the highway turns east onto 45th street and sand point way at the university village shopping mall and enters the sand point neighborhood near seattle children's hospital. sr 513 continues northeast along the burke-gilman trail past the seattle branch of the national archives before the highway ends at an intersection with 65th street west of magnuson park.