205541353 has 2 divisors, whose sum is σ = 205541354. Its totient is φ = 205541352.

The previous prime is 205541251. The next prime is 205541383. The reversal of 205541353 is 353145502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197458704 + 8082649 = 14052^2 + 2843^2 .

It is a cyclic number.

It is not a de Polignac number, because 205541353 - 2¹³ = 205533161 is a prime.

It is not a weakly prime, because it can be changed into another prime (205541383) 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, 102770676 + 102770677.

It is an arithmetic number, because the mean of its divisors is an integer number (102770677).

Almost surely, 2^205541353 is an apocalyptic number.

It is an amenable number.

205541353 is a deficient number, since it is larger than the sum of its proper divisors (1).

205541353 is an equidigital number, since it uses as much as digits as its factorization.

205541353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 205541353 is about 14336.7134657843. The cubic root of 205541353 is about 590.1554249148.

Adding to 205541353 its reverse (353145502), we get a palindrome (558686855).

The spelling of 205541353 in words is "two hundred five million, five hundred forty-one thousand, three hundred fifty-three".