2138865600353 has 2 divisors, whose sum is σ = 2138865600354. Its totient is φ = 2138865600352.

The previous prime is 2138865600343. The next prime is 2138865600463. The reversal of 2138865600353 is 3530065688312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2129416399504 + 9449200849 = 1459252^2 + 97207^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138865600353 - 2¹⁰ = 2138865599329 is a prime.

It is a super-2 number, since 2×2138865600353² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2138865600343) 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, 1069432800176 + 1069432800177.

It is an arithmetic number, because the mean of its divisors is an integer number (1069432800177).

Almost surely, 2^{2138865600353} is an apocalyptic number.

It is an amenable number.

2138865600353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138865600353 is an equidigital number, since it uses as much as digits as its factorization.

2138865600353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 2138865600353 in words is "two trillion, one hundred thirty-eight billion, eight hundred sixty-five million, six hundred thousand, three hundred fifty-three".