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The high-energy deep-core-level spectra of PrO 2 have been studied. Pr 3d x-ray photoemission spectroscopy (XPS), Pr M 4, 5 x-ray-absorption spectroscopy (XAS) and Pr L 3 XAS show many-body effects. The data are analyzed in the framework of the filled-band Anderson-impurity model. Starting from the many-body description of the ground-state, the final states of each core-level spectroscopy are predicted. The effective relaxation energy in the final state decreases going from 3d XPS to L 3 XAS to M 4, 5 XAS because of the repulsive interaction between the excited electron and the 4f electron in XAS spectra. It is shown that the ground state exhibits mixing of many-body configurations 4 f 1 and 4 f 2 L, where L denotes a hole in the oxygen 2p-derived valence band, separated by the energy ΔE= 0.5 eV. A nonzero probability of the occupation of the 4 f 2 L configuration, giving a noninteger 4f count n f= 1.6, is found.