Since its discovery more than half a century ago Przybylski ’ s star ( HD 101065 ) continues to excite the astronomical community by the unusual nature of its spectrum , exhibiting exotic element abundances . This star was also the first magnetic chemically peculiar A-type star for which the presence of rapid oscillations was established . Our analysis of newly acquired and historic longitudinal magnetic field measurements indicates that Przybylski ’ s star is also unusual with respect to its extremely slow rotation . Adopting a dipolar structure for the magnetic field and using a sine wave fit to all reported longitudinal magnetic field values over the last 43 yr , we find a probable rotation period P _ { rot } \approx 188 yr , which however has to be considered tentative as it does not represent a unique solution and has to be verified by future observations . Additionally , based on our own spectropolarimetric material obtained with HARPSpol , we discuss the impact of the anomalous structure of its atmosphere , in particular of the non-uniform horizontal and vertical distributions of chemical elements on the magnetic field measurements and the pulsational variability . Anomalies related to the vertical abundance stratification of Pr and Nd are for the first time used to establish the presence of a radial magnetic field gradient .