256218001 has 8 divisors (see below), whose sum is σ = 276722600. Its totient is φ = 235827072.

The previous prime is 256217993. The next prime is 256218013. The reversal of 256218001 is 100812652.

256218001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43758225 + 212459776 = 6615^2 + 14576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 256218001 - 2³ = 256217993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256218041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23700 + ... + 32773.

It is an arithmetic number, because the mean of its divisors is an integer number (34590325).

Almost surely, 2^256218001 is an apocalyptic number.

It is an amenable number.

256218001 is a deficient number, since it is larger than the sum of its proper divisors (20504599).

256218001 is a wasteful number, since it uses less digits than its factorization.

256218001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56835.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 256218001 is about 16006.8110815365. The cubic root of 256218001 is about 635.1406066381.

The spelling of 256218001 in words is "two hundred fifty-six million, two hundred eighteen thousand, one".