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Considering two molecular state assumptions, i.e. S-wave $\bar{\Lambda}-K^-$and S-wave $\bar{\Sigma}^0-K^-$ molecular states, we study the possible decaysof $\bar N_X(1625)$ that include $\bar N_X(1625)\to K^{-}\bar{\Lambda},\pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Our results indicate: (1) if$\bar N_{X}(1625)$ is $\bar{\Lambda}-K^-$ molecular state, $K^{-}\bar{\Lambda}$is the main decay modes of $\bar N_{X}(1625)$, and the branching ratios of therest decay modes are tiny; (2) if $\bar N_{X}(1625)$ is $\bar{\Sigma}^0-K^-$molecular state, the branching ratio of $\bar N_{X}(1625)\toK^{-}\bar{\Lambda}$ is one or two order smaller than that of $\barN_{X}(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Thus the searchfor $\bar N_X(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$ will behelpful to shed light on the nature of $\bar N_X(1625)$.

What can we learn from the decay of $ N_X(1625)$ in molecule picture?