256859416969 has 9 divisors (see below), whose sum is σ = 257655033237. Its totient is φ = 256066254624.

The previous prime is 256859416967. The next prime is 256859416999. The reversal of 256859416969 is 969614958652.

The square root of 256859416969 is 506813.

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

256859416969 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 15593765625 + 241265651344 = 124875^2 + 491188^2 .

It is not a de Polignac number, because 256859416969 - 2¹ = 256859416967 is a prime.

It is a super-2 number, since 2×256859416969² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256859416898 and 256859416907.

It is not an unprimeable number, because it can be changed into a prime (256859416967) 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 8 ways as a sum of consecutive naturals, for example, 231612987 + ... + 231614095.

Almost surely, 2^256859416969 is an apocalyptic number.

256859416969 is the 506813-rd square number.

256859416969 is the 253407-th centered octagonal number.

It is an amenable number.

256859416969 is a deficient number, since it is larger than the sum of its proper divisors (795616268).

256859416969 is an frugal number, since it uses more digits than its factorization.

256859416969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 1566 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 70.

The spelling of 256859416969 in words is "two hundred fifty-six billion, eight hundred fifty-nine million, four hundred sixteen thousand, nine hundred sixty-nine".