257910961 has 32 divisors (see below), whose sum is σ = 347500800. Its totient is φ = 189100800.

The previous prime is 257910953. The next prime is 257910967. The reversal of 257910961 is 169019752.

It is not a de Polignac number, because 257910961 - 2³ = 257910953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257910967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62131 + ... + 66151.

It is an arithmetic number, because the mean of its divisors is an integer number (10859400).

Almost surely, 2^257910961 is an apocalyptic number.

It is an amenable number.

257910961 is a deficient number, since it is larger than the sum of its proper divisors (89589839).

257910961 is a wasteful number, since it uses less digits than its factorization.

257910961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 257910961 is about 16059.6065020286. The cubic root of 257910961 is about 636.5364336504.

The spelling of 257910961 in words is "two hundred fifty-seven million, nine hundred ten thousand, nine hundred sixty-one".