413253352314 has 96 divisors (see below), whose sum is σ = 1004288088960. Its totient is φ = 121709174400.

The previous prime is 413253352301. The next prime is 413253352349.

413253352314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 5 + 335 + 2 + 314 = 666.

413253352314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6701904 + ... + 6763284.

It is an arithmetic number, because the mean of its divisors is an integer number (10461334260).

Almost surely, 2^413253352314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413253352314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502144044480).

413253352314 is an abundant number, since it is smaller than the sum of its proper divisors (591034736646).

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

413253352314 is a wasteful number, since it uses less digits than its factorization.

413253352314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62356 (or 62353 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 413253 and 352314, that added together give a palindrome (765567).

The spelling of 413253352314 in words is "four hundred thirteen billion, two hundred fifty-three million, three hundred fifty-two thousand, three hundred fourteen".