256530 has 32 divisors (see below), whose sum is σ = 653184. Its totient is φ = 64256.

The previous prime is 256517. The next prime is 256541. The reversal of 256530 is 35652.

256530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256497 and 256506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2²⁵⁶⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

256530 is an abundant number, since it is smaller than the sum of its proper divisors (396654).

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

256530 is a wasteful number, since it uses less digits than its factorization.

256530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 256530 is about 506.4879070620. The cubic root of 256530 is about 63.5398307571.

It can be divided in two parts, 25 and 6530, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 256530 in words is "two hundred fifty-six thousand, five hundred thirty".