2301135913249 has 2 divisors, whose sum is σ = 2301135913250. Its totient is φ = 2301135913248.

The previous prime is 2301135913189. The next prime is 2301135913289. The reversal of 2301135913249 is 9423195311032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1339128040849 + 962007872400 = 1157207^2 + 980820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2301135913249 - 2²⁵ = 2301102358817 is a prime.

It is not a weakly prime, because it can be changed into another prime (2301135913289) 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, 1150567956624 + 1150567956625.

It is an arithmetic number, because the mean of its divisors is an integer number (1150567956625).

Almost surely, 2^{2301135913249} is an apocalyptic number.

It is an amenable number.

2301135913249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301135913249 is an equidigital number, since it uses as much as digits as its factorization.

2301135913249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 2301135913249 in words is "two trillion, three hundred one billion, one hundred thirty-five million, nine hundred thirteen thousand, two hundred forty-nine".