  In the paper, the thermodynamic properties of the CaLi$_2$ superconductor
have been studied. It has been assumed the high value of the pressure: $p=100$
GPa. The thermodynamic critical field ($H_{C}$) and the specific heats for the
superconducting and normal state ($C^{S}$ and $C^{N}$) have been obtained. The
calculations have been made within the framework of the Eliashberg approach for
the wide range of the Coulomb pseudopotential: $\mu^{\star}\in<0.1,0.3>$. It
has been shown that the low-temperature critical field and the specific heat
jump at $T_{C}$ strongly decrease if $\mu^{\star}$ increases. The value of the
dimensionless ratio $R_{C}\equiv(C^{S}-C^{N})/C^{N}$ at the critical
temperature differs significantly from the value predicted by the BCS model. In
particular, the parameter $R_{C}$ decreases from 1.83 to 1.73 with the increase
of the Coulomb pseudopotential value. In the paper, the interpolation formulas
for the functions $T_{C}(\mu^{\star})$ and $R_{C}(\mu^{\star})$ have been also
given.
