A pimple-like bump on the nose that bleeds easily should be evaluated by a dermatologist. While it could be a benign lesion like a cyst or a pyogenic granuloma, a non-healing, bleeding bump on sun-exposed skin is a classic warning sign of Basal Cell Carcinoma, a common and highly treatable form of skin cancer. Please avoid applying over-the-counter ointments, as they will not cure the underlying issue and may delay proper diagnosis. Keep the area clean with mild soap and water, and schedule a professional skin examination as soon as possible for an accurate diagnosis and treatment plan.