1005840503053 has 2 divisors, whose sum is σ = 1005840503054. Its totient is φ = 1005840503052.

The previous prime is 1005840503027. The next prime is 1005840503111. The reversal of 1005840503053 is 3503050485001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001356459684 + 4484043369 = 1000678^2 + 66963^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005840503053 - 2¹⁷ = 1005840371981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005840503023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502920251526 + 502920251527.

It is an arithmetic number, because the mean of its divisors is an integer number (502920251527).

Almost surely, 2^{1005840503053} is an apocalyptic number.

It is an amenable number.

1005840503053 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005840503053 is an equidigital number, since it uses as much as digits as its factorization.

1005840503053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 1005840503053 its reverse (3503050485001), we get a palindrome (4508890988054).

The spelling of 1005840503053 in words is "one trillion, five billion, eight hundred forty million, five hundred three thousand, fifty-three".