205332251 has 16 divisors (see below), whose sum is σ = 216373248. Its totient is φ = 194616000.

The previous prime is 205332199. The next prime is 205332263. The reversal of 205332251 is 152233502.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205332251 is a prime.

It is a super-2 number, since 2×205332251² = 84322666601454002, which contains 22 as substring.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205332271) 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, 341351 + ... + 341951.

It is an arithmetic number, because the mean of its divisors is an integer number (13523328).

Almost surely, 2^205332251 is an apocalyptic number.

205332251 is a deficient number, since it is larger than the sum of its proper divisors (11040997).

205332251 is a wasteful number, since it uses less digits than its factorization.

205332251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205332251 is about 14329.4190740588. The cubic root of 205332251 is about 589.9552307311.

Adding to 205332251 its reverse (152233502), we get a palindrome (357565753).

The spelling of 205332251 in words is "two hundred five million, three hundred thirty-two thousand, two hundred fifty-one".