255008961 has 9 divisors (see below), whose sum is σ = 368415489. Its totient is φ = 169974036.

The previous prime is 255008893. The next prime is 255008969. The reversal of 255008961 is 169800552.

It is a happy number.

The square root of 255008961 is 15969.

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

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

It is not a de Polignac number, because 255008961 - 2¹³ = 255000769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (255008969) 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, 45246 + ... + 50568.

Almost surely, 2^255008961 is an apocalyptic number.

255008961 is the 15969-th square number.

255008961 is the 7985-th centered octagonal number.

It is an amenable number.

255008961 is a deficient number, since it is larger than the sum of its proper divisors (113406528).

255008961 is an frugal number, since it uses more digits than its factorization.

255008961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 5326 counting only the distinct ones).

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

The cubic root of 255008961 is about 634.1399985063.

Multiplying 255008961 by its sum of digits (36), we get a square (9180322596 = 95814²).

The spelling of 255008961 in words is "two hundred fifty-five million, eight thousand, nine hundred sixty-one".