255904009 has 9 divisors (see below), whose sum is σ = 272131861. Its totient is φ = 240594880.

The previous prime is 255903971. The next prime is 255904013. The reversal of 255904009 is 900409552.

The square root of 255904009 is 15997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41925625 + 213978384 = 6475^2 + 14628^2 .

It is not a de Polignac number, because 255904009 - 2¹³ = 255895817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255904069) 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, 271479 + ... + 272419.

Almost surely, 2^255904009 is an apocalyptic number.

255904009 is the 15997-th square number.

255904009 is the 7999-th centered octagonal number.

It is an amenable number.

255904009 is a deficient number, since it is larger than the sum of its proper divisors (16227852).

255904009 is an frugal number, since it uses more digits than its factorization.

255904009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The cubic root of 255904009 is about 634.8810482542.

The spelling of 255904009 in words is "two hundred fifty-five million, nine hundred four thousand, nine".