  Since its discovery more than half a century ago Przybylski's star (HD101065)
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 43yr, we find a probable
rotation period P_rot ~ 188yr, 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.
