256526010 has 96 divisors (see below), whose sum is σ = 722122128. Its totient is φ = 62807040.

The previous prime is 256525991. The next prime is 256526033. The reversal of 256526010 is 10625652.

256526010 is a `hidden beast` number, since 2 + 5 + 6 + 52 + 601 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42810849 + 213715161 = 6543^2 + 14619^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272140 + ... + 273080.

Almost surely, 2^256526010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256526010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361061064).

256526010 is an abundant number, since it is smaller than the sum of its proper divisors (465596118).

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

256526010 is a wasteful number, since it uses less digits than its factorization.

256526010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 256526010 is about 16016.4293773612. The cubic root of 256526010 is about 635.3950132810.

The spelling of 256526010 in words is "two hundred fifty-six million, five hundred twenty-six thousand, ten".