256101552 has 120 divisors (see below), whose sum is σ = 847460640. Its totient is φ = 70640640.

The previous prime is 256101541. The next prime is 256101553. The reversal of 256101552 is 255101652.

256101552 is a `hidden beast` number, since 2 + 5 + 6 + 101 + 552 = 666.

256101552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256101553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24852 + ... + 33612.

It is an arithmetic number, because the mean of its divisors is an integer number (7062172).

Almost surely, 2^256101552 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 256101552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423730320).

256101552 is an abundant number, since it is smaller than the sum of its proper divisors (591359088).

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

256101552 is a wasteful number, since it uses less digits than its factorization.

256101552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 256101552 is about 16003.1731853405. The cubic root of 256101552 is about 635.0443699750.

The spelling of 256101552 in words is "two hundred fifty-six million, one hundred one thousand, five hundred fifty-two".