Radio luminosity of GLEAM-X J162759.5–523504.3: does it really exceed the spin-down power of the pulsar?

The recently discovered radio pulsar GLEAM-X J162759.5-523504.3 with an extremely long spin period was reported to have a luminosity that exceeds by orders of magnitude the spin-down power pulsar. In this Letter, we rigorously calculate source taking into account dependence opening angle pulsar-emission cone first on alone and then both parameters observing frequency. We also revise value previously. Our analysis is based description spectral data in terms two power-law indices as well single index. Even if pulsar's treated frequency-independent parameter line usual assumption, implies relatively small angles therefore luminosities below power. Although estimate higher physically more plausible case frequency-dependent angle, again not exceeded highest possible luminosity. efficiency can be used favour magnetar hypothesis.