353233056113129 has 2 divisors, whose sum is σ = 353233056113130. Its totient is φ = 353233056113128.

The previous prime is 353233056113039. The next prime is 353233056113167. The reversal of 353233056113129 is 921311650332353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310332193597504 + 42900862515625 = 17616248^2 + 6549875^2 .

It is a cyclic number.

It is not a de Polignac number, because 353233056113129 - 2⁸ = 353233056112873 is a prime.

It is a super-3 number, since 3×353233056113129³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (353233056112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 176616528056564 + 176616528056565.

It is an arithmetic number, because the mean of its divisors is an integer number (176616528056565).

Almost surely, 2^{353233056113129} is an apocalyptic number.

It is an amenable number.

353233056113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

353233056113129 is an equidigital number, since it uses as much as digits as its factorization.

353233056113129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1312200, while the sum is 47.

The spelling of 353233056113129 in words is "three hundred fifty-three trillion, two hundred thirty-three billion, fifty-six million, one hundred thirteen thousand, one hundred twenty-nine".