257961681 has 12 divisors (see below), whose sum is σ = 374899408. Its totient is φ = 170918424.

The previous prime is 257961679. The next prime is 257961707. The reversal of 257961681 is 186169752.

257961681 is a `hidden beast` number, since 25 + 7 + 9 + 616 + 8 + 1 = 666.

257961681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257961681 - 2¹ = 257961679 is a prime.

It is a super-2 number, since 2×257961681² = 133088457728691522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257961611) 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, 86455 + ... + 89388.

Almost surely, 2^257961681 is an apocalyptic number.

It is an amenable number.

257961681 is a deficient number, since it is larger than the sum of its proper divisors (116937727).

257961681 is a wasteful number, since it uses less digits than its factorization.

257961681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176012 (or 176009 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 257961681 is about 16061.1855415470. The cubic root of 257961681 is about 636.5781573673.

The spelling of 257961681 in words is "two hundred fifty-seven million, nine hundred sixty-one thousand, six hundred eighty-one".