257532 has 24 divisors (see below), whose sum is σ = 655872. Its totient is φ = 78000.

The previous prime is 257519. The next prime is 257539. The reversal of 257532 is 235752.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257532.

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 in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (27328).

2²⁵⁷⁵³² is an apocalyptic number.

257532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257532 is an abundant number, since it is smaller than the sum of its proper divisors (398340).

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

257532 is a wasteful number, since it uses less digits than its factorization.

257532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1967 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 257532 is about 507.4761078120. The cubic root of 257532 is about 63.6224516280.

It can be divided in two parts, 25 and 7532, that added together give a palindrome (7557).

The spelling of 257532 in words is "two hundred fifty-seven thousand, five hundred thirty-two".