257680071 has 24 divisors (see below), whose sum is σ = 427415040. Its totient is φ = 147949200.

The previous prime is 257680069. The next prime is 257680097. The reversal of 257680071 is 170086752.

257680071 is a `hidden beast` number, since 2 + 576 + 80 + 0 + 7 + 1 = 666.

It is not a de Polignac number, because 257680071 - 2¹ = 257680069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257680021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66615 + ... + 70376.

It is an arithmetic number, because the mean of its divisors is an integer number (17808960).

Almost surely, 2^257680071 is an apocalyptic number.

257680071 is a deficient number, since it is larger than the sum of its proper divisors (169734969).

257680071 is a wasteful number, since it uses less digits than its factorization.

257680071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137027 (or 137024 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 257680071 is about 16052.4163601621. The cubic root of 257680071 is about 636.3464277975.

The spelling of 257680071 in words is "two hundred fifty-seven million, six hundred eighty thousand, seventy-one".