257613 has 8 divisors (see below), whose sum is σ = 351648. Its totient is φ = 167664.

The previous prime is 257611. The next prime is 257627. The reversal of 257613 is 316752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257613 - 2¹ = 257611 is a prime.

It is a Curzon number.

257613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (43956).

2²⁵⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

257613 is a deficient number, since it is larger than the sum of its proper divisors (94035).

257613 is a wasteful number, since it uses less digits than its factorization.

257613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043.

The product of its digits is 1260, while the sum is 24.

The square root of 257613 is about 507.5559082505. Note that the first 3 decimals coincide. The cubic root of 257613 is about 63.6291211918.

The spelling of 257613 in words is "two hundred fifty-seven thousand, six hundred thirteen".