Absolute single-ion thermodynamic quantities of hydration at 298.15 K are derivable from the conventional enthalpies and entropies if the values of S°(H_aq⁺) and Δ_hydH°(H⁺) are known. Here we suggest S°(H_aq⁺) = −5.5 J K⁻¹ mol^-1 based on the thermodynamics of the dissociation of water. This assignment, in turn, corresponds to Δ_hydH°(H⁺) = −1078 kJ mol^-1 according to a self-consistent analysis of Krestov. Using these values, as a main result, the anions are more strongly hydrated than usually thought, in line with recent calculations. Only the group 1, 2, and 15 nobel gas ions are dealt with. For each series, the conventional enthalpies and entropies are linearly related to one another. From these linear free energy relationships (LFERs) a relationship between S°(H_aq⁺) and Δ_hydH°(H⁺) is derived. Further, a connection is detected between the Born radii r_B, calculated from the free energies of hydration, and the distances d, corresponding to the upper limits of the experimental first peak position of the ionoxygen radial distribution curves, upon implication, in the case of a cation, the covalent radius r_cov of oxygen, and in the case of an anion, the water radius r_water, Finally, from the differences between the enthalpies and free energies of hydration the temperature derivatives of the Born radii are determined.