256053528 has 128 divisors (see below), whose sum is σ = 754488000. Its totient is φ = 80317440.

The previous prime is 256053493. The next prime is 256053529. The reversal of 256053528 is 825350652.

It is a happy number.

256053528 is a `hidden beast` number, since 25 + 60 + 53 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256053492 and 256053501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256053529) 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 31 ways as a sum of consecutive naturals, for example, 256326 + ... + 257322.

Almost surely, 2^256053528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256053528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377244000).

256053528 is an abundant number, since it is smaller than the sum of its proper divisors (498434472).

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

256053528 is a wasteful number, since it uses less digits than its factorization.

256053528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 256053528 is about 16001.6726625687. The cubic root of 256053528 is about 635.0046731216.

The spelling of 256053528 in words is "two hundred fifty-six million, fifty-three thousand, five hundred twenty-eight".