  It is demonstrated that the two-point correlation function of the magnetic
helicity in the case of zero mean magnetic field has anomalous scalings for
both, compressible and incompressible turbulent helical fluid flow. The
magnetic helicity in the limit of very high electrical conductivity is
conserved. This implies that the two-point correlation function of the
conserved property does not necessarily have normal scaling. The reason for the
anomalous scalings of the magnetic helicity correlation function is that the
magnetic field in the equation for the two-point correlation function of the
magnetic helicity plays a role of a pumping with anomalous scalings. It is
shown also that when magnetic fluctuations with zero mean magnetic field are
generated the magnetic helicity is very small even if the hydrodynamic helicity
is large. Astrophysical applications of the obtained results are discussed.
