256527 has 10 divisors (see below), whose sum is σ = 383328. Its totient is φ = 170964.

The previous prime is 256517. The next prime is 256541. The reversal of 256527 is 725652.

256527 is a `hidden beast` number, since 2 + 5 + 652 + 7 = 666.

It is not a de Polignac number, because 256527 - 2¹⁰ = 255503 is a prime.

It is a super-2 number, since 2×256527² = 131612203458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁴ + 5⁷ + 6⁶ + 2¹⁶ + 7² .

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 3 and base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 256527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256517) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1503 + ... + 1664.

2²⁵⁶⁵²⁷ is an apocalyptic number.

256527 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

256527 is a deficient number, since it is larger than the sum of its proper divisors (126801).

256527 is an equidigital number, since it uses as much as digits as its factorization.

256527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3170 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 256527 is about 506.4849454821. The cubic root of 256527 is about 63.5395830664.

The spelling of 256527 in words is "two hundred fifty-six thousand, five hundred twenty-seven".