2105401312249 has 2 divisors, whose sum is σ = 2105401312250. Its totient is φ = 2105401312248.

The previous prime is 2105401312241. The next prime is 2105401312283. The reversal of 2105401312249 is 9422131045012.

It is an a-pointer prime, because the next prime (2105401312283) can be obtained adding 2105401312249 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1572365523600 + 533035788649 = 1253940^2 + 730093^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105401312249 - 2³ = 2105401312241 is a prime.

It is a super-2 number, since 2×2105401312249² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2105401312241) 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, 1052700656124 + 1052700656125.

It is an arithmetic number, because the mean of its divisors is an integer number (1052700656125).

Almost surely, 2^{2105401312249} is an apocalyptic number.

It is an amenable number.

2105401312249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105401312249 is an equidigital number, since it uses as much as digits as its factorization.

2105401312249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2105401312249 in words is "two trillion, one hundred five billion, four hundred one million, three hundred twelve thousand, two hundred forty-nine".