256306275289 has 9 divisors (see below), whose sum is σ = 257459128671. Its totient is φ = 255158568000.

The previous prime is 256306275287. The next prime is 256306275317. The reversal of 256306275289 is 982572603652.

The square root of 256306275289 is 506267.

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

It can be written as a sum of positive squares in only one way, i.e., 216788016025 + 39518259264 = 465605^2 + 198792^2 .

It is not a de Polignac number, because 256306275289 - 2¹ = 256306275287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256306275287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127072009 + ... + 127074025.

Almost surely, 2^256306275289 is an apocalyptic number.

256306275289 is the 506267-th square number.

256306275289 is the 253134-th centered octagonal number.

It is an amenable number.

256306275289 is a deficient number, since it is larger than the sum of its proper divisors (1152853382).

256306275289 is an frugal number, since it uses more digits than its factorization.

256306275289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 256306275289 in words is "two hundred fifty-six billion, three hundred six million, two hundred seventy-five thousand, two hundred eighty-nine".