/usr/lib/x86_64-linux-gnu/libQt5DesignerComponents.so.5 is in libqt5designercomponents5 5.2.1-8build1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libQt5DesignerComponents.so.5.2.1