CE421 Captain reported a loss of oil pressure on the right engine while in cruise. The pilot shut down the right engine and diverted to a suitable airport.

Narrative

On Day 0 while in the cruise phase of flight; I experienced a loss of oil pressure in Aircraft X. While cruising at an altitude of 19000 ft. MSL; the right engine of Aircraft X began surging at approximately 1 hour and 10 minutes into the flight. My immediate suspicion was that a fuel pump had failed and I took the immediate actions to remedy the situation. When those actions did not remedy the situation; I noticed the manifold pressure dropping and the oil pressure indication of the right engine reading zero. I then decided to shut down the right engine and to run the appropriate checklist.Next; I alerted ATC that I was having an engine issue and needed to descend to 16000 ft. MSL. The controller issued me a descent to 16000 ft. MSL and asked if I needed assistance. After running the proper emergency checklist and securing engine checklist I asked for vectors and a descent to the ZZZ Airport. The controller then issued a heading and altitude to maintain and provided information on the weather and approach I could expect into the ZZZ Airport. After vectoring the descent and aligning me with the localizer for Runway XX; the ZZZ1 Center Controller cleared me for the ILS XX approach at ZZZ and gave a frequency change to the ZZZ Tower frequency. I was then cleared by the ZZZ Tower to land and I touched down without incident and was able to taxi to parking under my own power. There were no other issues prior to shutdown and securing of Aircraft X.