257011 has 6 divisors (see below), whose sum is σ = 265020. Its totient is φ = 249228.

The previous prime is 257003. The next prime is 257017. The reversal of 257011 is 110752.

It is not a de Polignac number, because 257011 - 2³ = 257003 is a prime.

It is a Duffinian number.

257011 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (257017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1780 + ... + 1918.

It is an arithmetic number, because the mean of its divisors is an integer number (44170).

2²⁵⁷⁰¹¹ is an apocalyptic number.

257011 is a deficient number, since it is larger than the sum of its proper divisors (8009).

257011 is an equidigital number, since it uses as much as digits as its factorization.

257011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 257011 is about 506.9625232697. The cubic root of 257011 is about 63.5795188722.

Adding to 257011 its reverse (110752), we get a palindrome (367763).

The spelling of 257011 in words is "two hundred fifty-seven thousand, eleven".