  Processes of heavy quark photoproduction at HERA energies and beyond are
investigated using the semihard ($k_{\bot}$ factorization) approach. Virtuality
and longitudinal polarization of gluons in the photon - gluon subprocess as
well as the saturation effects in the gluon distribution function at small $x$
have been taken into account. The total cross sections, rapidity and $p_{\bot}$
distributions of the charm and beauty quark photoproduction have been
calculated. The results are compared with ZEUS experimental data for charm
photoproduction cross section.
