353201040102353 has 8 divisors (see below), whose sum is σ = 360652836879048. Its totient is φ = 345819876470784.

The previous prime is 353201040102311. The next prime is 353201040102371.

353201040102353 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 65826091235584 + 287374948866769 = 8113328^2 + 16952137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 353201040102353 - 2²⁶ = 353200972993489 is a prime.

It is a super-2 number, since 2×353201040102353² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353201049102353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17658276176 + ... + 17658296177.

It is an arithmetic number, because the mean of its divisors is an integer number (45081604609881).

Almost surely, 2^{353201040102353} is an apocalyptic number.

It is an amenable number.

353201040102353 is a deficient number, since it is larger than the sum of its proper divisors (7451796776695).

353201040102353 is a wasteful number, since it uses less digits than its factorization.

353201040102353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35316572563.

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 353201040102353 in words is "three hundred fifty-three trillion, two hundred one billion, forty million, one hundred two thousand, three hundred fifty-three".