205164620252353 has 2 divisors, whose sum is σ = 205164620252354. Its totient is φ = 205164620252352.

The previous prime is 205164620252327. The next prime is 205164620252363. The reversal of 205164620252353 is 353252026461502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151222308373504 + 53942311878849 = 12297248^2 + 7344543^2 .

It is a cyclic number.

It is not a de Polignac number, because 205164620252353 - 2⁵ = 205164620252321 is a prime.

It is not a weakly prime, because it can be changed into another prime (205164620252363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102582310126176 + 102582310126177.

It is an arithmetic number, because the mean of its divisors is an integer number (102582310126177).

Almost surely, 2^{205164620252353} is an apocalyptic number.

It is an amenable number.

205164620252353 is a deficient number, since it is larger than the sum of its proper divisors (1).

205164620252353 is an equidigital number, since it uses as much as digits as its factorization.

205164620252353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 205164620252353 in words is "two hundred five trillion, one hundred sixty-four billion, six hundred twenty million, two hundred fifty-two thousand, three hundred fifty-three".