This name is a synonym of Mammillaria polythele Mart..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50186212) with original publication details: Cact. Hort. Dyck. [ed. 1849] 1949: 112 1950.
This name was in version 1 of The Plant List, record tro-50186212.