255509952 has 112 divisors (see below), whose sum is σ = 707440800. Its totient is φ = 81285120.

The previous prime is 255509951. The next prime is 255509957. The reversal of 255509952 is 259905552.

255509952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255509951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606702 + ... + 607122.

Almost surely, 2^255509952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353720400).

255509952 is an abundant number, since it is smaller than the sum of its proper divisors (451930848).

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

255509952 is a wasteful number, since it uses less digits than its factorization.

255509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 255509952 is about 15984.6786642710. The cubic root of 255509952 is about 634.5550043258. Note that the first 3 decimals are identical.

The spelling of 255509952 in words is "two hundred fifty-five million, five hundred nine thousand, nine hundred fifty-two".