353413314353 has 6 divisors (see below), whose sum is σ = 388462568802. Its totient is φ = 321284831120.

The previous prime is 353413314349. The next prime is 353413314439.

353413314353 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 263345501584 + 90067812769 = 513172^2 + 300113^2 .

It is not a de Polignac number, because 353413314353 - 2² = 353413314349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353413314323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1460385476 + ... + 1460385717.

It is an arithmetic number, because the mean of its divisors is an integer number (64743761467).

Almost surely, 2^353413314353 is an apocalyptic number.

It is an amenable number.

353413314353 is a deficient number, since it is larger than the sum of its proper divisors (35049254449).

353413314353 is a wasteful number, since it uses less digits than its factorization.

353413314353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920771215 (or 2920771204 counting only the distinct ones).

The product of its digits is 291600, while the sum is 38.

It can be divided in two parts, 353413 and 314353, that added together give a palindrome (667766).

The spelling of 353413314353 in words is "three hundred fifty-three billion, four hundred thirteen million, three hundred fourteen thousand, three hundred fifty-three".