6005205561253 has 2 divisors, whose sum is σ = 6005205561254. Its totient is φ = 6005205561252.

The previous prime is 6005205561211. The next prime is 6005205561281. The reversal of 6005205561253 is 3521655025006.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5952267834529 + 52937726724 = 2439727^2 + 230082^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6005205561253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6005205561353) 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, 3002602780626 + 3002602780627.

It is an arithmetic number, because the mean of its divisors is an integer number (3002602780627).

Almost surely, 2^{6005205561253} is an apocalyptic number.

It is an amenable number.

6005205561253 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005205561253 is an equidigital number, since it uses as much as digits as its factorization.

6005205561253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 6005205561253 in words is "six trillion, five billion, two hundred five million, five hundred sixty-one thousand, two hundred fifty-three".