256120002889 has 3 divisors (see below), whose sum is σ = 256120508973. Its totient is φ = 256119496806.

The previous prime is 256120002811. The next prime is 256120002947. The reversal of 256120002889 is 988200021652.

The square root of 256120002889 is 506083.

It is a perfect power (a square), and thus also a powerful number.

256120002889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 256120002889 - 2¹⁷ = 256119871817 is a prime.

It is a super-3 number, since 3×256120002889³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256120006889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 253042 + ... + 759124.

It is an arithmetic number, because the mean of its divisors is an integer number (85373502991).

Almost surely, 2^256120002889 is an apocalyptic number.

256120002889 is the 506083-rd square number.

256120002889 is the 253042-nd centered octagonal number.

It is an amenable number.

256120002889 is a deficient number, since it is larger than the sum of its proper divisors (506084).

256120002889 is an frugal number, since it uses more digits than its factorization.

256120002889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012166 (or 506083 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 256120002889 in words is "two hundred fifty-six billion, one hundred twenty million, two thousand, eight hundred eighty-nine".