Na0.5CoO2 exhibits a metal-insulator transition at TMI = 53 K upon cooling. The nature of another transition at TX = 88 K has not been fully clarified yet. We report the results of measurements of the electrical conductivity σ, the magnetic susceptibility χ and 23 Na NMR on a powder sample of Na0.5CoO2, including the mapping of NMR spectra, as well as probing the spin-lattice relaxation rate T −1 1 (T ) and the spin-spin relaxation rate T −1 2 (T ), in the temperature range between 30 K and 305 K. The NMR data reflect the transition at TX very well but provide less evidence for the metal-insulator transition at TMI. The temperature evolution of the shape of the spectra implies the formation of a staggered internal field below TX, not accompained by a rearrangement of the electric charge distribution. Our results thus indicate that in Na0.5CoO2, an unusual type of magnetic ordering in the metallic phase precedes the onset of charge ordering, which finally induces an insulating ground state.