We present a next-to-leading order QCD calculation of inclusive
dijet photoproduction in ultraperipheral Pb-Pb collisions at the LHC and show
that the results agree very well with various kinematic distributions measured
by the ATLAS collaboration. The effect of including these data in nCTEQ or EPPS16
nuclear parton density functions (nPDFs) is then studied using the Bayesian
reweighting technique. For an assumed total error of 5\% on the final data, its
inclusion would lead to a significant reduction of the nPDF uncertainties of up to
a factor of two at small values of the parton momentum fraction. As an outlook,
we discuss future analyes of diffractive nPDFs, which are so far completely unknown.