1305201353 has 2 divisors, whose sum is σ = 1305201354. Its totient is φ = 1305201352.

The previous prime is 1305201281. The next prime is 1305201407. The reversal of 1305201353 is 3531025031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810939529 + 494261824 = 28477^2 + 22232^2 .

It is an emirp because it is prime and its reverse (3531025031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1305201353 - 2²² = 1301007049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305200353) 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, 652600676 + 652600677.

It is an arithmetic number, because the mean of its divisors is an integer number (652600677).

Almost surely, 2^1305201353 is an apocalyptic number.

It is an amenable number.

1305201353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305201353 is an equidigital number, since it uses as much as digits as its factorization.

1305201353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 1305201353 is about 36127.5705383022. The cubic root of 1305201353 is about 1092.8465152410.

Adding to 1305201353 its reverse (3531025031), we get a palindrome (4836226384).

The spelling of 1305201353 in words is "one billion, three hundred five million, two hundred one thousand, three hundred fifty-three".