1005223204253 has 2 divisors, whose sum is σ = 1005223204254. Its totient is φ = 1005223204252.

The previous prime is 1005223204247. The next prime is 1005223204357. The reversal of 1005223204253 is 3524023225001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 731781015364 + 273442188889 = 855442^2 + 522917^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005223204253 - 2⁸ = 1005223203997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005223204213) 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, 502611602126 + 502611602127.

It is an arithmetic number, because the mean of its divisors is an integer number (502611602127).

Almost surely, 2^{1005223204253} is an apocalyptic number.

It is an amenable number.

1005223204253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005223204253 is an equidigital number, since it uses as much as digits as its factorization.

1005223204253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 1005223204253 its reverse (3524023225001), we get a palindrome (4529246429254).

The spelling of 1005223204253 in words is "one trillion, five billion, two hundred twenty-three million, two hundred four thousand, two hundred fifty-three".