255252252552 has 256 divisors, whose sum is σ = 737279262720. Its totient is φ = 72884486400.

The previous prime is 255252252551. The next prime is 255252252557.

255252252552 is nontrivially palindromic in base 10.

255252252552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255252252551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287769853 + ... + 287770739.

It is an arithmetic number, because the mean of its divisors is an integer number (2879997120).

Almost surely, 2^255252252552 is an apocalyptic number.

255252252552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255252252552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368639631360).

255252252552 is an abundant number, since it is smaller than the sum of its proper divisors (482027010168).

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

255252252552 is a wasteful number, since it uses less digits than its factorization.

255252252552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1580 counting only the distinct ones).

The product of its digits is 1000000, while the sum is 42.

The spelling of 255252252552 in words is "two hundred fifty-five billion, two hundred fifty-two million, two hundred fifty-two thousand, five hundred fifty-two".