Catalyzes the cleavage of the N-glycosidic bond of deoxyribonucleoside 5'-monophosphates to yield deoxyribose 5-phosphate and a purine or pyrimidine base. Deoxyribonucleoside 5'-monophosphates containing purine bases are preferred to those containing pyrimidine bases. a pyrimidine 2'-deoxyribonucleoside 5'-phosphate + H2O = 2-deoxy-D-ribose 5-phosphate + a pyrimidine nucleobase a purine 2'-deoxyribonucleoside 5'-phosphate + H2O = 2-deoxy-D-ribose 5-phosphate + a purine nucleobase kcat is 0.002 sec(-1) with dGMP as substrate. kcat is 0.0025 sec(-1) with dAMP as substrate. kcat is 0.0016 sec(-1) with dIMP as substrate. kcat is 0.2 sec(-1) with dUMP as substrate. kcat is 0.0083 sec(-1) with dCMP as substrate. kcat is 0.025 sec(-1) with dTMP as substrate. Monomer and homodimer. Expressed at low levels in brain, colon, lung, peripheral blood leukocytes, placenta, small intestine, and thymus. Expressed at high levels in heart, kidney, liver, skeletal muscle and spleen. Overexpressed in a significant proportion of breast cancers. Expression is induced by ETV1. Belongs to the 2'-deoxynucleoside 5'-phosphate N-hydrolase 1 family.