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This article discusses the electrostatic scattering from a spherical scatterer that is anisotropic in such way that the axes of anisotropy are determined by the spherical coordinates. A medium with this kind of material parameters is called “systropic” in this article. The polarizability dyadic of the systropic sphere has two independent components: the axial and the transverse polarizabilities. These two quantities are calculated by different methods. An analytical formula is derived for the axial polarizability. The transverse polarizability is calculated by a semi-analytical approach. The accuracy of the results is studied with two different methods. The first method is to compare different semi-analytical results, which are calculated using a varying system matrix size. The second method is to compare the semi-analytical results with the numerical ones.