35042145102193 has 2 divisors, whose sum is σ = 35042145102194. Its totient is φ = 35042145102192.

The previous prime is 35042145102127. The next prime is 35042145102257. The reversal of 35042145102193 is 39120154124053.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32895650533729 + 2146494568464 = 5735473^2 + 1465092^2 .

It is a cyclic number.

It is not a de Polignac number, because 35042145102193 - 2¹³ = 35042145094001 is a prime.

It is not a weakly prime, because it can be changed into another prime (35042145102793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17521072551096 + 17521072551097.

It is an arithmetic number, because the mean of its divisors is an integer number (17521072551097).

Almost surely, 2^{35042145102193} is an apocalyptic number.

It is an amenable number.

35042145102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

35042145102193 is an equidigital number, since it uses as much as digits as its factorization.

35042145102193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 35042145102193 in words is "thirty-five trillion, forty-two billion, one hundred forty-five million, one hundred two thousand, one hundred ninety-three".