This is the 6231st most frequent Russian word.
туристических
"Touristic" or "related to tourism."
Here "туристических" is an adjective describing "маршрутов" (routes), indicating their connection to tourism.
Я изучал туристических маршрутов для нашей поездки.
I was studying tourist routes for our trip.
In this sentence, "туристических" modifies "центров" (centers), specifying their relation to tourism activities.
Мы посетили несколько туристических центров в городе.
We visited several tourist centers in the city.
The word "туристических" here qualifies "достопримечательности" (attractions), highlighting their importance to tourists.