255214303412552 has 96 divisors (see below), whose sum is σ = 529750915948800. Its totient is φ = 115176531360000.

The previous prime is 255214303412531. The next prime is 255214303412573.

255214303412552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255214303412531) and next prime (255214303412573).

It is a super-2 number, since 2×255214303412552² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273013724 + ... + 273946932.

It is an arithmetic number, because the mean of its divisors is an integer number (5518238707800).

Almost surely, 2^{255214303412552} is an apocalyptic number.

255214303412552 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 255214303412552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264875457974400).

255214303412552 is an abundant number, since it is smaller than the sum of its proper divisors (274536612536248).

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

255214303412552 is a wasteful number, since it uses less digits than its factorization.

255214303412552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935259 (or 935244 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

It can be divided in two parts, 25521430 and 3412552, that added together give a palindrome (28933982).

The spelling of 255214303412552 in words is "two hundred fifty-five trillion, two hundred fourteen billion, three hundred three million, four hundred twelve thousand, five hundred fifty-two".