205252761 has 8 divisors (see below), whose sum is σ = 312766144. Its totient is φ = 117287280.

The previous prime is 205252757. The next prime is 205252771. The reversal of 205252761 is 167252502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205252761 - 2² = 205252757 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205252771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4886950 + ... + 4886991.

It is an arithmetic number, because the mean of its divisors is an integer number (39095768).

Almost surely, 2^205252761 is an apocalyptic number.

205252761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205252761 is a deficient number, since it is larger than the sum of its proper divisors (107513383).

205252761 is an equidigital number, since it uses as much as digits as its factorization.

205252761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773951.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 205252761 is about 14326.6451411348. The cubic root of 205252761 is about 589.8790913783.

The spelling of 205252761 in words is "two hundred five million, two hundred fifty-two thousand, seven hundred sixty-one".