As of the census of 2000, there were 455 people, 198 households and 126 families residing in the CDP. The population density was 86.6per square mile (33.5Square kilometers). There were 287 housing units at an average density of 54.6Squaremeters(21.1Square kilometers). According to the United States Census Bureau, the CDP has a total area of 5.2square miles (13Square kilometers), all of it land. Marathon is a census-designated place (CDP) in Brewster County, Texas, United States. The population was 470 in 2007, after growing from 455 in 2000, but had decreased to 430 by 2010.The high-end Gage Hotel is located in Marathon. The town was also a filming location for the movie Paris, Texas directed by Wim Wenders.