257013 has 20 divisors (see below), whose sum is σ = 406560. Its totient is φ = 161352.

The previous prime is 257003. The next prime is 257017. The reversal of 257013 is 310752.

It is not a de Polignac number, because 257013 - 2⁵ = 256981 is a prime.

It is a zygodrome in base 4.

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 1456 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2²⁵⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

257013 is a deficient number, since it is larger than the sum of its proper divisors (149547).

257013 is a wasteful number, since it uses less digits than its factorization.

257013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 257013 is about 506.9644957983. The cubic root of 257013 is about 63.5796837922.

Adding to 257013 its reverse (310752), we get a palindrome (567765).

The spelling of 257013 in words is "two hundred fifty-seven thousand, thirteen".