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Curzon n.  and  frugal n.

First numbers that belong to both sets:

125, 729, 1458, 10449, 10658, 11045, 12125, 13125, 13718, 14406, 16281, 18125, 18225, 18750, 21141, 24389, 25205, 29889, 31250, 34445, 35721, 64881, 65610, 65625, 91854, 100625, 101306, 103125, 103173, 103518, 103761, 105149, 105861, 106250, 106434, 108045, 108578, 109625, 110625, 111005, 115169, 119313, 120050, 120285, 123125, 123201, 127089, 129033, 129654, 130181, 131250, 131369, 131949, 139445, 140625, 142641, 142805, 143750, 148125, 149769, 151389, 154541, 164025, 164561, 165669, 166698, 168125, 168413, 171366, 172773, 178605, 178929, 179334, 180989, 181521, 181781, 184049, 185193, 193109, 193185, 194481, 195533, 196601, 199989, 200978, 201933, 205578, 205625, 212625, 213689, 214569, 215541, 215625, 218489, 218750, 220625, 221373, 227138, 234009, 235298, 235953, 238869, 248645, 253125, 253265, 254849, 258125, 262205, 271445, 272861, 280625, 281250, 282449, 283661, 285605, 289413, 292329, 296009, 299693, 301806, 303125, 303918, 304241, 321734, 322373, 324821, 325625, 330773, 331169, 340625, 347733, 353565, 357749, 362313, 365229, 367205, 368750, 378125, 385641, 394389, 394805, 406250, 408125, 416745, 417074, 424278, 424589, 431649, 433026, 443961, 456533, 467289, 468750, 483153, 485514, 489845, 493533, 504210, 511029, 512169, 513125, 513945, 559433, 560601, 575181, 598418, 610173, 610625, 613089, 618921, 622938, 665625, 666125, 674681, 688905, 689138, 700569, 705894, 718205, 732305, 750141, 778034, 778125, 785133, 815189, 828125, 837218, 847553, 852818, 861125, 865625, 903125, 911250, 916353, 916658, 932978, 933989, 957906, 960093, 961193, 962801, 977589, 984150, 991613, 1001414, 1002125, 1002861, 1004801, 1005333, 1006625, 1010394, 1010609, 1012625, 1013054, 1015625, 1016309, 1016469, 1019933, 1020125, 1020425, 1022121, 1022826, 1024013, 1024338, 1025285, 1025625, 1026461, 1034289, 1035909, 1036625, 1036638, 1038230, 1039625, 1040625, 1045625, 1048545, 1049813, 1052081, 1052433, 1053366, 1055625, 1061705, 1063446, 1063713, 1063893, 1065125, 1067985, 1070846, 1071630, 1073750, 1075625, 1078125, 1078625, 1079649, 1080221, 1082565, 1083125, 1086281, 1089369, 1090341, 1094513, 1095201, 1097874, 1102005, 1102625, 1104921, 1105893, 1109781, 1110753, 1111158, 1111725, 1113098, 1113669, 1114566, 1116018, 1116465, 1116861, 1117625, 1121894, 1123949.

Some larger examples :