No zeros occur in this puzzle.
Across:
A: C across + E across
C: A cubic number
E: A square number
G: This square number equals the product of the digits of A down.
I: A square number
J: A palindrome
L: A prime number
M: A prime number
N: M across plus the digit sum of L across
Down:
A: A prime number
B: A palindrome
C: The digit product of C down is a divisor of G across
D: A down + E across
F: The product of the digits of A across
H: M across + G across
I: A perfect number (the sum of all of its divisors, including 1, but excluding itself)
K: A palindrome
L: A square number