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A positive electrode active material according to an embodiment includes secondary particles each formed of aggregated primary particles of a lithium transition metal oxide containing 80 mol % or more of nickel, based on a total molar amount of a metal element other than lithium. The positive electrode active material further includes a rare earth compound attached to each surface of the secondary particles and one or more lithium compounds attached to each surface of the primary particles inside the secondary particles. The lithium compounds include lithium hydroxide.