213693223752 has 108 divisors (see below), whose sum is σ = 584145685305. Its totient is φ = 70573404096.

The previous prime is 213693223741. The next prime is 213693223753. The reversal of 213693223752 is 257322396312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

213693223752 is a `hidden beast` number, since 2 + 1 + 369 + 3 + 2 + 237 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204117818436 + 9575405316 = 451794^2 + 97854^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=326874.

It is a junction number, because it is equal to n+sod(n) for n = 213693223698 and 213693223707.

It is not an unprimeable number, because it can be changed into a prime (213693223753) 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 26 ways as a sum of consecutive naturals, for example, 615830443 + ... + 615830789.

Almost surely, 2^213693223752 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 213693223752

213693223752 is an abundant number, since it is smaller than the sum of its proper divisors (370452461553).

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

213693223752 is an equidigital number, since it uses as much as digits as its factorization.

213693223752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 509 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 213693223752 in words is "two hundred thirteen billion, six hundred ninety-three million, two hundred twenty-three thousand, seven hundred fifty-two".