1353353040241 has 2 divisors, whose sum is σ = 1353353040242. Its totient is φ = 1353353040240.

The previous prime is 1353353040233. The next prime is 1353353040253. The reversal of 1353353040241 is 1420403533531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1351338825841 + 2014214400 = 1162471^2 + 44880^2 .

It is an emirp because it is prime and its reverse (1420403533531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1353353040241 - 2³ = 1353353040233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1353353040197 and 1353353040206.

It is not a weakly prime, because it can be changed into another prime (1353353040841) 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 as a sum of consecutive naturals, namely, 676676520120 + 676676520121.

It is an arithmetic number, because the mean of its divisors is an integer number (676676520121).

Almost surely, 2^{1353353040241} is an apocalyptic number.

It is an amenable number.

1353353040241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353353040241 is an equidigital number, since it uses as much as digits as its factorization.

1353353040241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 1353353040241 its reverse (1420403533531), we get a palindrome (2773756573772).

The spelling of 1353353040241 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-three million, forty thousand, two hundred forty-one".