A B737-800'S RIGHT ENG 'BLEED TRIP OFF' LIGHT ILLUMINATED. THE FLT DSNDED TO FL250 AND DIVERTED TO AN ENROUTE ARPT FOR AN OVRWT LNDG AND ACFT CHANGE.

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WX WAS CAVOK. WE HAD A BLEED TRIP OFF LIGHT LEADING TO A PRESSURIZATION ISSUE. LEAVING ZZZ1; WE WERE CLBING THROUGH FL250 WHEN WE ENCOUNTERED A 'BLEED TRIP OFF' LIGHT ON THE R ENG. WE LEVELED OFF AT FL270 AND RAN THE QRH CHKLIST FOR BLEED TRIP OFF LIGHT. THE CHKLIST ACTIONS FAILED TO CORRECT THE PROB. PRESSURIZATION WAS PROVIDED BY ONLY THE L PACK FROM THE L ENG BLEED. UPON CONFERRING WITH THE COMPANY DISPATCHER AND MAINT COORDINATOR IN ZZZ2; WE DECIDED THE BEST COURSE OF ACTION GIVEN THE NON-NORMAL PRESSURIZATION CONFIGN WAS TO DIVERT TO ZZZ3 FOR AN EQUIP SWAP. WE DID NOT HAVE ENOUGH FUEL TO REACH ZZZ4 AT FL250 AND I WAS CONCERNED ABOUT CONTINUING ON TO DEST AT FLT PLANNED ALT HAVING ONLY THE L ENG BLEED TO SUPPLY ALL OF THE PRESSURIZATION REQUIREMENTS FOR THE FLT. FOR SAFETY OF FLT REASONS I DECIDED TO CONTINUE THE FLT AT FL250 TO PRECLUDE ANY FURTHER PROBS (IE; RAPID DEPRESSURIZATION SHOULD THE L BLEED FAIL). AFTER CONSULTING THE MANUAL FOR THE LNDG DISTANCE AND BRAKE COOLING REQUIREMENTS I DECIDED AN OVERWT LNDG IN ZZZ3 WAS THE BEST COURSE OF ACTION GIVEN THE NON-NORMAL SIT. THE MANUAL SHOWED WE WERE WELL WITHIN LIMITS FOR THE LNDG AT ZZZ3. IN ADDITION; I CONFERRED WITH MAINT CONCERNING THE IMPENDING OVERWT LNDG AND THE ACFT INSPECTIONS THAT WOULD BE REQUIRED. MAINT APPROVAL FOR AN OVERWT LNDG WAS RECEIVED.