Epitaxially coated silicon wafers, are coated individually in an epitaxy reactor by placing a wafer on a susceptor, pretreating under a hydrogen atmosphere, in and then with addition of an etching medium, and coating epitaxially on a polished front side, wherein an etching treatment of the susceptor is effected after a specific number of epitaxial coatings, and the susceptor is then hydrophilized. Silicon wafer produced thereby have a maximum local flatness value SFQRmax of 0.01 μm to 0.035 μm relative to at least 99% of the partial regions of an area grid of measurement windows having a size of 26×8 mm2 on the front side of the silicon wafer with an edge exclusion of 2 mm.