205212353 has 2 divisors, whose sum is σ = 205212354. Its totient is φ = 205212352.

The previous prime is 205212289. The next prime is 205212361. The reversal of 205212353 is 353212502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156450064 + 48762289 = 12508^2 + 6983^2 .

It is a cyclic number.

It is not a de Polignac number, because 205212353 - 2⁶ = 205212289 is a prime.

It is a super-2 number, since 2×205212353² = 84224219647593218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205212053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102606176 + 102606177.

It is an arithmetic number, because the mean of its divisors is an integer number (102606177).

Almost surely, 2^205212353 is an apocalyptic number.

It is an amenable number.

205212353 is a deficient number, since it is larger than the sum of its proper divisors (1).

205212353 is an equidigital number, since it uses as much as digits as its factorization.

205212353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205212353 is about 14325.2348322811. The cubic root of 205212353 is about 589.8403791119.

Adding to 205212353 its reverse (353212502), we get a palindrome (558424855).

The spelling of 205212353 in words is "two hundred five million, two hundred twelve thousand, three hundred fifty-three".