257536 has 20 divisors (see below), whose sum is σ = 515592. Its totient is φ = 128512.

The previous prime is 257519. The next prime is 257539. The reversal of 257536 is 635752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261 + ... + 763.

2²⁵⁷⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796).

257536 is an abundant number, since it is smaller than the sum of its proper divisors (258056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257536 is an frugal number, since it uses more digits than its factorization.

257536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 257536 is about 507.4800488689. The cubic root of 257536 is about 63.6227810220.

The spelling of 257536 in words is "two hundred fifty-seven thousand, five hundred thirty-six".