Within the Standard Model, neutrinos exhibit no direct coupling to photons. Nonetheless, quantum loop corrections can give rise to electromagnetic properties in neutrinos, such as magnetic moments, electric dipole moments, electric charge, and charge-radius. This proceeding systematically addresses three pivotal components: firstly, the neutrino magnetic moment, an unequivocal consequence of neutrino masses, and establishing a one-to-one correlation. This connection yields definite predictions for neutrino magnetic moments when constructing models for neutrino masses. Subsequently, exploration extends to new leptonic symmetries that uncouple mass from the magnetic moment of neutrinos, elucidating both theoretical foundations and phenomenological implications. Secondly, an examination ensues into the anomalous electromagnetic properties shared between charged leptons and neutrinos, revealing potential correlations. Finally, the proceeding concludes with an examination of the astrophysical ramifications stemming from the electromagnetic properties of neutrinos. This proceeding is based on results obtained in Refs. ~\cite{Babu:2020ivd, Babu:2021jnu, Jana:2022muf, Jana:2022xru, Jana:2022olx, Jana:2022tsa, Jana:2023ufy}.