Rishimukh is a sacred place for Hindus as it finds some mentions in the epic Ramayana (see Ramayana in Hampi). It’s believed that it’s here that Hanuman first met Rama and Laxmana who where on the search for the wife of Rama abducted by Ravana.
You need to cross the river at some point to reach this locality. Rishimukh Hill and it’s environs fall within the traditionally laidback scene of Hampi. A few lodges and some seasonal restaurants are located nearby.
Otherwise the main attraction of Rishimukh is the Chandramouliswara Temple that’s undergoing a vigorous restoration work. Also this is a vantage point to see the ruins of the ancient bridge built across the river.
Close to this temple is an Ashram (hermitage) from where you can hear practically nonstop chanting of the sacred texts.
The boulder strewn hill is a visual treat, especially when viewed from across the river (Riverside Ruins) .
If the river is not flooded, you can crossover to this area by a coracle from near the Kodandarama Temple (pay Rs 5 to 10 per head).
Otherwise the same kind of ferry option is available at the river crossing point some distance east of Vittala Temple. In the later case you’ll need to trace a few kilometers before reaching this locality. If you are planning for a long exploration, taking along your bicycle or moped is a good idea as public transport is a bit scarce at this side of the river.
Otherwise you can cover this as a detour part of the Route 5 of Hampi Itinerary.