Buggy python submission (verdict: Runtime Error):
import math

N = int(input())
P = 0
P += N
Eratosthenes = [p for p in range(2, math.ceil(N ** 0.5))]
number = Eratosthenes[0]
sosuu = []
while number < N ** 0.25:
    sosuu.append(number)
    n_Eratosthenes = []
    for n in Eratosthenes:
        if n % number == 0:
            pass
        else:
            n_Eratosthenes.append(n)
    if len(n_Eratosthenes) == 0:
        break
    number = n_Eratosthenes[0]
    Eratosthenes = n_Eratosthenes
numbers = sosuu + Eratosthenes
suuji = 0
answers = []
while N > 1 and suuji < len(numbers):
    number = numbers[suuji]
    if N % number == 0:
        answers.append(number)
        N = N // number
    else:
        suuji += 1
number = 1
for n in answers:
    number *= n
other = P // number
if P==1:
    print(1)
else:
    if other == 1:
        a = 1
        b = 1
        for n in range(len(answers)):
            if n % 2 == 0:
                a *= answers[n]
            else:
                b *= answers[n]
        print(max(len(str(a)), len(str(b))))
    else:
        print(max(len(str(other)), len(str(number))))


Fixed submission:
N=int(input())
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
yakusuu=make_divisors(N)
if len(yakusuu)%2 != 0:
    print(len(str(yakusuu[len(yakusuu)//2])))
else:
    ans=pow(10,9)
    for n in range(len(yakusuu)//2):
        number=max(len(str(yakusuu[n])),len(str(yakusuu[-n-1])))
        ans=min(ans,number)
    print(ans)

Buggy python submission (verdict: Runtime Error):
import math
N=int(input())
P=0
P+=N
Eratosthenes = [p for p in range(2, math.ceil(N ** 0.5))]
number = Eratosthenes[0]
sosuu = []
while number < N ** 0.25:
    sosuu.append(number)
    n_Eratosthenes = []
    for n in Eratosthenes:
        if n % number == 0:
            pass
        else:
            n_Eratosthenes.append(n)
    if len(n_Eratosthenes) == 0:
        break
    number = n_Eratosthenes[0]
    Eratosthenes = n_Eratosthenes
numbers = sosuu + Eratosthenes
suuji = 0
answers = []
while N > 1 and suuji < len(numbers):
    number = numbers[suuji]
    if N % number == 0:
        answers.append(number)
        N = N // number
    else:
        suuji += 1
number=1
for n in answers:
    number*=n
other=P//number
if other==1:
    a=1
    b=1
    for n in range(len(answers)):
        if n%2==0:
            a*=answers[n]
        else:
            b*=answers[n]
    print(max(len(str(a)),len(str(b))))
else:
    print(max(len(str(other)),len(str(number))))
    


Fixed submission:
N=int(input())
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
yakusuu=make_divisors(N)
if len(yakusuu)%2 != 0:
    print(len(str(yakusuu[len(yakusuu)//2])))
else:
    ans=pow(10,9)
    for n in range(len(yakusuu)//2):
        number=max(len(str(yakusuu[n])),len(str(yakusuu[-n-1])))
        ans=min(ans,number)
    print(ans)