257550 has 48 divisors (see below), whose sum is σ = 682992. Its totient is φ = 64000.

The previous prime is 257539. The next prime is 257561. The reversal of 257550 is 55752.

257550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257539) and next prime (257561).

It is a self number, because there is not a number n which added to its sum of digits gives 257550.

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 257550.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500 + ... + 2600.

It is an arithmetic number, because the mean of its divisors is an integer number (14229).

2²⁵⁷⁵⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341496).

257550 is an abundant number, since it is smaller than the sum of its proper divisors (425442).

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

257550 is a wasteful number, since it uses less digits than its factorization.

257550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 257550 is about 507.4938423272. The cubic root of 257550 is about 63.6239338741.

The spelling of 257550 in words is "two hundred fifty-seven thousand, five hundred fifty".