205141257 has 12 divisors (see below), whose sum is σ = 296440560. Its totient is φ = 136702968.

The previous prime is 205141253. The next prime is 205141259. The reversal of 205141257 is 752141502.

205141257 is a `hidden beast` number, since 20 + 514 + 125 + 7 = 666.

It is not a de Polignac number, because 205141257 - 2² = 205141253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205141257.

It is not an unprimeable number, because it can be changed into a prime (205141253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34498 + ... + 40004.

It is an arithmetic number, because the mean of its divisors is an integer number (24703380).

Almost surely, 2^205141257 is an apocalyptic number.

It is an amenable number.

205141257 is a deficient number, since it is larger than the sum of its proper divisors (91299303).

205141257 is a wasteful number, since it uses less digits than its factorization.

205141257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 205141257 is about 14322.7531222178. The cubic root of 205141257 is about 589.7722543381.

Adding to 205141257 its reverse (752141502), we get a palindrome (957282759).

The spelling of 205141257 in words is "two hundred five million, one hundred forty-one thousand, two hundred fifty-seven".