205256261 has 16 divisors (see below), whose sum is σ = 238267008. Its totient is φ = 173184000.

The previous prime is 205256231. The next prime is 205256267. The reversal of 205256261 is 162652502.

It is a cyclic number.

It is not a de Polignac number, because 205256261 - 2¹⁸ = 204994117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205256267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232541 + ... + 233421.

It is an arithmetic number, because the mean of its divisors is an integer number (14891688).

Almost surely, 2^205256261 is an apocalyptic number.

It is an amenable number.

205256261 is a deficient number, since it is larger than the sum of its proper divisors (33010747).

205256261 is an equidigital number, since it uses as much as digits as its factorization.

205256261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 205256261 is about 14326.7672906347. The cubic root of 205256261 is about 589.8824442606.

The spelling of 205256261 in words is "two hundred five million, two hundred fifty-six thousand, two hundred sixty-one".