\[\boxed{\text{247\ (247).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[625 + 625 + \ldots + 625 = 5^{101}\]
\[625 \cdot n = 5^{101}\]
\[5^{4} \cdot n = 5^{101}\]
\[n = 5^{101}\ :5^{4}\]
\[n = 5^{101 - 4}\]
\[n = 5^{97}.\]
\[Ответ:5^{97}\ слагаемых.\]