213441525211253 has 2 divisors, whose sum is σ = 213441525211254. Its totient is φ = 213441525211252.

The previous prime is 213441525211129. The next prime is 213441525211289. The reversal of 213441525211253 is 352112525144312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127066843946449 + 86374681264804 = 11272393^2 + 9293798^2 .

It is a cyclic number.

It is not a de Polignac number, because 213441525211253 - 2²⁰ = 213441524162677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213441525211253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213441525211853) 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, 106720762605626 + 106720762605627.

It is an arithmetic number, because the mean of its divisors is an integer number (106720762605627).

Almost surely, 2^{213441525211253} is an apocalyptic number.

It is an amenable number.

213441525211253 is a deficient number, since it is larger than the sum of its proper divisors (1).

213441525211253 is an equidigital number, since it uses as much as digits as its factorization.

213441525211253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288000, while the sum is 41.

The spelling of 213441525211253 in words is "two hundred thirteen trillion, four hundred forty-one billion, five hundred twenty-five million, two hundred eleven thousand, two hundred fifty-three".