205738529 has 2 divisors, whose sum is σ = 205738530. Its totient is φ = 205738528.

The previous prime is 205738493. The next prime is 205738549. The reversal of 205738529 is 925837502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160149025 + 45589504 = 12655^2 + 6752^2 .

It is a cyclic number.

It is not a de Polignac number, because 205738529 - 2¹⁶ = 205672993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205738549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102869264 + 102869265.

It is an arithmetic number, because the mean of its divisors is an integer number (102869265).

Almost surely, 2^205738529 is an apocalyptic number.

It is an amenable number.

205738529 is a deficient number, since it is larger than the sum of its proper divisors (1).

205738529 is an equidigital number, since it uses as much as digits as its factorization.

205738529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 205738529 is about 14343.5884282839. The cubic root of 205738529 is about 590.3440768084.

The spelling of 205738529 in words is "two hundred five million, seven hundred thirty-eight thousand, five hundred twenty-nine".