Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-

from sys import stdin
import math
from functools import reduce

primetable = 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n,x = [int(x) for x in stdin.readline().split()]

limit = math.pow(x, (1.0/n))

for i, p in enumerate(primetable):
    if p > limit:
        primetable = primetable[:i]
        break

def factorize(x, g):
    for p in primetable:
        if x % p == 0:
            p_n = math.pow(p, n)
            if x % p_n == 0:
                g = factorize(x / p_n, g)
                g.append(p)
                return g
    return g

if x == 1:
    print(1)
elif n == 1:
    print(x)
else:
    g = factorize(x, [])
    print(g)
    
    ans = reduce(lambda a,b: a*b, g)
    print(ans)


Fixed submission:
# -*- coding: utf-8 -*-

from sys import stdin

n,x = [int(i) for i in stdin.readline().split()]
limit = int(x ** (1.0/n)) + 1

def devide_counter(x, p):
    count = 1
    x /= p
    while x % p == 0:
        count += 1
        x /= p
    return x, count

def factorize(x):
    ans = 1

    p = 2
    if x % p == 0:
        x, count = devide_counter(x, p)
        if count >= n:
            ans = ans * (p ** (count // n))

    for p in range(3, limit, 2):
        if x % p == 0:
            x, count = devide_counter(x, p)
            if count >= n:
                ans = ans * (p ** (count // n))
        if x < p * p:
            break
    return ans

if x == 1:
    print(1)
elif n == 1:
    print(x)
else:
    ans = factorize(x)
    print(ans)