205525253 has 2 divisors, whose sum is σ = 205525254. Its totient is φ = 205525252.

The previous prime is 205525241. The next prime is 205525259. The reversal of 205525253 is 352525502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129800449 + 75724804 = 11393^2 + 8702^2 .

It is a cyclic number.

It is not a de Polignac number, because 205525253 - 2²⁰ = 204476677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205525259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102762626 + 102762627.

It is an arithmetic number, because the mean of its divisors is an integer number (102762627).

Almost surely, 2^205525253 is an apocalyptic number.

It is an amenable number.

205525253 is a deficient number, since it is larger than the sum of its proper divisors (1).

205525253 is an equidigital number, since it uses as much as digits as its factorization.

205525253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15000, while the sum is 29.

The square root of 205525253 is about 14336.1519592951. The cubic root of 205525253 is about 590.1400156062.

The spelling of 205525253 in words is "two hundred five million, five hundred twenty-five thousand, two hundred fifty-three".