  There are two established gradings on Leavitt path algebras associated with
ultragraphs, namely the grading by the integers group and the grading by the
free group on the edges. In this paper, we characterize properties of these
gradings in terms of the underlying combinatorial properties of the
ultragraphs. More precisely, we characterize when the gradings are strong or
epsilon-strong. The results regarding the free group on the edges are new also
in the context of Leavitt path algebras of graphs. Finally, we also describe
the relation between the strongness of the integer grading on an ultragraph
Leavitt path algebra and the saturation of the gauge action associated with the
corresponding ultragraph C*-algebra.
