Catalyzes the reversible cleavage of pseudouridine 5'-phosphate (PsiMP) to ribose 5-phosphate and uracil (PubMed:31907295). Functions biologically in the cleavage direction, as part of a pseudouridine degradation pathway (PubMed:31907295). Acts together with the pseudouridine kinase PUKI in the peroxisome to prevent toxic pseudouridine monophosphate accumulation (PubMed:31907295). Can catalyze the formation of pseudouridine 5'-phosphate (reverse reaction) in vitro, with a catalytic efficiency 4 times lower than the hydrolysis reaction (PubMed:31907295). D-ribose 5-phosphate + uracil = H2O + psi-UMP Binds 1 Mn(2+) ion per subunit. kcat is 1.41 (sec-1) with pseudouridine 5'-phosphate as substrate. Homotrimer. Belongs to the pseudouridine-5'-phosphate glycosidase family.