255213312552 has 192 divisors, whose sum is σ = 815179435200. Its totient is φ = 71286635520.

The previous prime is 255213312551. The next prime is 255213312587.

255213312552 is a `hidden beast` number, since 2 + 5 + 521 + 3 + 3 + 125 + 5 + 2 = 666.

255213312552 is nontrivially palindromic in base 10.

255213312552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (255213312551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327588 + ... + 785964.

It is an arithmetic number, because the mean of its divisors is an integer number (4245726225).

Almost surely, 2^255213312552 is an apocalyptic number.

255213312552 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 255213312552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407589717600).

255213312552 is an abundant number, since it is smaller than the sum of its proper divisors (559966122648).

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

255213312552 is a wasteful number, since it uses less digits than its factorization.

255213312552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458456 (or 458449 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

It can be divided in two parts, 255213 and 312552, that added together give a palindrome (567765).

The spelling of 255213312552 in words is "two hundred fifty-five billion, two hundred thirteen million, three hundred twelve thousand, five hundred fifty-two".