255516 has 24 divisors (see below), whose sum is σ = 604800. Its totient is φ = 83952.

The previous prime is 255511. The next prime is 255517. The reversal of 255516 is 615552.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 255516.

It is not an unprimeable number, because it can be changed into a prime (255511) by changing a digit.

255516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2²⁵⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

255516 is an abundant number, since it is smaller than the sum of its proper divisors (349284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255516 is a wasteful number, since it uses less digits than its factorization.

255516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 255516 is about 505.4859048480. The cubic root of 255516 is about 63.4560010991.

Subtracting from 255516 its product of digits (1500), we obtain a square (254016 = 504²).

The spelling of 255516 in words is "two hundred fifty-five thousand, five hundred sixteen".