413315513314 has 32 divisors (see below), whose sum is σ = 699818434560. Its totient is φ = 181376302800.

The previous prime is 413315513279. The next prime is 413315513411.

413315513314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413315513314² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413315513314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437434 + ... + 1008949.

It is an arithmetic number, because the mean of its divisors is an integer number (21869326080).

Almost surely, 2^413315513314 is an apocalyptic number.

413315513314 is a deficient number, since it is larger than the sum of its proper divisors (286502921246).

413315513314 is a wasteful number, since it uses less digits than its factorization.

413315513314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446846.

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 413315 and 513314, that added together give a palindrome (926629).

The spelling of 413315513314 in words is "four hundred thirteen billion, three hundred fifteen million, five hundred thirteen thousand, three hundred fourteen".