255968001 has 9 divisors (see below), whose sum is σ = 369800899. Its totient is φ = 170613336.

The previous prime is 255967967. The next prime is 255968021. The reversal of 255968001 is 100869552.

It is a happy number.

The square root of 255968001 is 15999.

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., 255200625 + 767376 = 15975^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 255968001 - 2⁹ = 255967489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (255968021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45331 + ... + 50663.

Almost surely, 2^255968001 is an apocalyptic number.

255968001 is the 15999-th square number.

255968001 is the 8000-th centered octagonal number.

It is an amenable number.

255968001 is a deficient number, since it is larger than the sum of its proper divisors (113832898).

255968001 is an frugal number, since it uses more digits than its factorization.

255968001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 255968001 is about 634.9339638275.

Multiplying 255968001 by its sum of digits (36), we get a square (9214848036 = 95994²).

It can be divided in two parts, 255 and 968001, that added together give a square (968256 = 984²).

The spelling of 255968001 in words is "two hundred fifty-five million, nine hundred sixty-eight thousand, one".