  We present a method of calculating the bottonium mass M[Upsilon(1S)] = [2 mb
+ E(b barb)]. The binding energy is separated into the soft and ultrasoft
components E(b barb)=[E(s)+E(us)] by requiring the reproduction of the correct
residue parameter value of the renormalon singularity for the renormalon
cancellation in the sum [2 mb + E(s)]. The Borel resummation is then performed
separately for (2 mb) and E(s), using the infrared safe MSbar mass [bar mb] as
input. E(us) is estimated. Comparing the result with the measured value of
M[Upsilon(1S)], the extracted value of the quark mass is [bar mb](mu=[bar mb])
= 4.241 +- 0.068 GeV (for the central value alphas(MZ)=0.1180). This value of
[bar mb] is close to the earlier values obtained from the QCD spectral sum
rules, but lower than from pQCD evaluations without the renormalon structure
for heavy quarkonia.
