213552255312 has 180 divisors, whose sum is σ = 674677412500. Its totient is φ = 62963619840.

The previous prime is 213552255311. The next prime is 213552255431.

213552255312 is a `hidden beast` number, since 21 + 3 + 55 + 22 + 553 + 12 = 666.

213552255312 is nontrivially palindromic in base 10.

213552255312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106560462096 + 106991793216 = 326436^2 + 327096^2 .

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 (213552255311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479064 + ... + 810312.

Almost surely, 2^213552255312 is an apocalyptic number.

213552255312 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 213552255312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337338706250).

213552255312 is an abundant number, since it is smaller than the sum of its proper divisors (461125157188).

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

213552255312 is a wasteful number, since it uses less digits than its factorization.

213552255312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331322 (or 331302 counting only the distinct ones).

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

It can be divided in two parts, 213552 and 255312, that added together give a palindrome (468864).

The spelling of 213552255312 in words is "two hundred thirteen billion, five hundred fifty-two million, two hundred fifty-five thousand, three hundred twelve".