Tungsten wire, and tungsten wire processing method and electrolytic wire using the same

A tungsten wire comprising a tungsten alloy containing rhenium, wherein, according to an electron backscattered diffraction (EBSD) analysis on a unit area, crystalline orientations having an orientation difference of 15 degrees or less from <101>, which is parallel to a wire drawing direction, account for an area ratio of 70% or more and 89% or less to a measurement field on an inverse pole figure (IPF) map, the unit area being a 40 μm×40 μm area located within a range of 100 μm concentrically extending from a central axis in a cross-section along a wire radial direction, which is perpendicular to the wire drawing direction, and wherein on a crystal grain map for a central portion of a main body of the tungsten wire, an average grain size is 0.5 μm or more and 2.0 μm or less.