2053242344205 has 48 divisors (see below), whose sum is σ = 3964881800880. Its totient is φ = 975970888704.

The previous prime is 2053242344171. The next prime is 2053242344213. The reversal of 2053242344205 is 5024432423502.

2053242344205 is a `hidden beast` number, since 2 + 0 + 53 + 242 + 344 + 20 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 560481314409 + 1492761029796 = 748653^2 + 1221786^2 .

It is not a de Polignac number, because 2053242344205 - 2¹⁶ = 2053242278669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2053242344205.

It is a congruent number.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 60497104 + ... + 60531033.

It is an arithmetic number, because the mean of its divisors is an integer number (82601704185).

Almost surely, 2^{2053242344205} is an apocalyptic number.

It is an amenable number.

2053242344205 is a deficient number, since it is larger than the sum of its proper divisors (1911639456675).

2053242344205 is a wasteful number, since it uses less digits than its factorization.

2053242344205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121028190 (or 121028187 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 2053242344205 its reverse (5024432423502), we get a palindrome (7077674767707).

The spelling of 2053242344205 in words is "two trillion, fifty-three billion, two hundred forty-two million, three hundred forty-four thousand, two hundred five".