  We test the hypothesis that environments play a key role in enabling the
growth of enormous radio structures spanning more than 700 kpc, an extreme
population of radio galaxies called giant radio galaxies (GRGs). To achieve
this, we explore (1) the relationships between the occurrence of GRGs and the
surface number density of surrounding galaxies, including satellite galaxies
and galaxies from neighboring halos, as well as (2) the GRG locations towards
large-scale structures. The analysis is done by making use of a homogeneous
sample of 110 GRGs detected from the LOFAR Two-metre Sky Survey in combination
with photometric galaxies from the DESI Legacy Imaging Surveys and a
large-scale filament catalog from the Sloan Digital Sky Survey. Our results
show that the properties of galaxies around GRGs are similar with that around
the two control samples, consisting of galaxies with optical colors and
luminosity matched to the properties of the GRG host galaxies. Additionally,
the properties of surrounding galaxies depend on neither their relative
positions to the radio jet/lobe structures nor the sizes of GRGs. We also find
that the locations of GRGs and the control samples with respect to the nearby
large-scale structures are consistent with each other. These results
demonstrate that there is no correlation between the GRG properties and their
environments traced by stars, indicating that external galaxy environments are
not the primary cause of the large sizes of the radio structures. Finally,
regarding radio feedback, we show that the fraction of blue satellites does not
correlate with the GRG properties, suggesting that the current epoch of radio
jets have minimal influence on the nature of their surrounding galaxies.
