2105544052033 has 2 divisors, whose sum is σ = 2105544052034. Its totient is φ = 2105544052032.

The previous prime is 2105544051997. The next prime is 2105544052043. The reversal of 2105544052033 is 3302504455012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1944050181264 + 161493870769 = 1394292^2 + 401863^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105544052033 - 2⁹ = 2105544051521 is a prime.

It is a super-2 number, since 2×2105544052033² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2105544052033.

It is not a weakly prime, because it can be changed into another prime (2105544052043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052772026016 + 1052772026017.

It is an arithmetic number, because the mean of its divisors is an integer number (1052772026017).

Almost surely, 2^{2105544052033} is an apocalyptic number.

It is an amenable number.

2105544052033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105544052033 is an equidigital number, since it uses as much as digits as its factorization.

2105544052033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 2105544052033 in words is "two trillion, one hundred five billion, five hundred forty-four million, fifty-two thousand, thirty-three".