255363552 has 72 divisors (see below), whose sum is σ = 733463640. Its totient is φ = 84268800.

The previous prime is 255363551. The next prime is 255363557.

255363552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255363551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24699 + ... + 33477.

It is an arithmetic number, because the mean of its divisors is an integer number (10186995).

Almost surely, 2^255363552 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 255363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366731820).

255363552 is an abundant number, since it is smaller than the sum of its proper divisors (478100088).

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

255363552 is a wasteful number, since it uses less digits than its factorization.

255363552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8885 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 255363552 is about 15980.0986229748. The cubic root of 255363552 is about 634.4337871281.

The spelling of 255363552 in words is "two hundred fifty-five million, three hundred sixty-three thousand, five hundred fifty-two".