257505 has 8 divisors (see below), whose sum is σ = 412032. Its totient is φ = 137328.

The previous prime is 257503. The next prime is 257519. The reversal of 257505 is 505752.

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

It is not a de Polignac number, because 257505 - 2¹ = 257503 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257505.

It is not an unprimeable number, because it can be changed into a prime (257501) 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, 8569 + ... + 8598.

It is an arithmetic number, because the mean of its divisors is an integer number (51504).

2²⁵⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

257505 is a deficient number, since it is larger than the sum of its proper divisors (154527).

257505 is a wasteful number, since it uses less digits than its factorization.

257505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17175.

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

The square root of 257505 is about 507.4495048771. The cubic root of 257505 is about 63.6202281292.

The spelling of 257505 in words is "two hundred fifty-seven thousand, five hundred five".