257411271 has 16 divisors (see below), whose sum is σ = 369941600. Its totient is φ = 158267520.

The previous prime is 257411269. The next prime is 257411311. The reversal of 257411271 is 172114752.

It is not a de Polignac number, because 257411271 - 2¹ = 257411269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257411471) 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 15 ways as a sum of consecutive naturals, for example, 58281 + ... + 62541.

It is an arithmetic number, because the mean of its divisors is an integer number (23121350).

Almost surely, 2^257411271 is an apocalyptic number.

257411271 is a deficient number, since it is larger than the sum of its proper divisors (112530329).

257411271 is a wasteful number, since it uses less digits than its factorization.

257411271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826.

The product of its digits is 3920, while the sum is 30.

The square root of 257411271 is about 16044.0416042841. The cubic root of 257411271 is about 636.1250817038.

The spelling of 257411271 in words is "two hundred fifty-seven million, four hundred eleven thousand, two hundred seventy-one".