413211351252 has 192 divisors, whose sum is σ = 1162022400000. Its totient is φ = 111730544640.

The previous prime is 413211351247. The next prime is 413211351269. The reversal of 413211351252 is 252153112314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263023627 + ... + 263025197.

It is an arithmetic number, because the mean of its divisors is an integer number (6052200000).

Almost surely, 2^413211351252 is an apocalyptic number.

413211351252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413211351252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581011200000).

413211351252 is an abundant number, since it is smaller than the sum of its proper divisors (748811048748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413211351252 is a wasteful number, since it uses less digits than its factorization.

413211351252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2964 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 413211351252 its reverse (252153112314), we get a palindrome (665364463566).

The spelling of 413211351252 in words is "four hundred thirteen billion, two hundred eleven million, three hundred fifty-one thousand, two hundred fifty-two".