Hello,
It can be due to spider vein. The varicose vein on the penis does not require any treatment. It may bruise during sexual intercourse and thus wearing of a condom is highly recommended.Also use of lubricants is recommended during masturbation or during sexual intercourse to avoid bruising the vein. No other treatment is required.In fact most of the treatment like laser treatment will cause scarring,infection,nerve and vascular damage.So in my opinion,you should leave them as such.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
Hi there. As long as it is not causing any problems, I would not worry about it. There are different colored veins and blood vessels that have odd shapes on mine, too--and have never posed a problem. Hope this helps!