This is the 17142nd most frequent Russian word.
старому
"To the old" or "to the elder" (dative case of "старый").
Here, 'старому' is used as an adjective modifying the noun 'другу', indicating the dative case and describing a person with whom one has long-term acquaintance.
Я подарил книгу старому другу.
I gave the book to an old friend.
In this context, 'старому' is functioning as an adjective in the dative case, modifying the noun 'человеку', to describe someone advanced in age.
Дом принадлежит старому человеку.
The house belongs to an old man.
Here, 'старому' acts as an adjective in the dative case, modifying 'парку', and describes the state of being old or aged pertaining to the location (the park).