252121433345 has 8 divisors (see below), whose sum is σ = 306690182376. Its totient is φ = 198934171776.

The previous prime is 252121433323. The next prime is 252121433383. The reversal of 252121433345 is 543334121252.

252121433345 is digitally balanced in base 2, 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 4 ways, for example, as 69239041 + 252052194304 = 8321^2 + 502048^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252121433345 - 2¹² = 252121429249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 345371462 + ... + 345372191.

It is an arithmetic number, because the mean of its divisors is an integer number (38336272797).

Almost surely, 2^252121433345 is an apocalyptic number.

It is an amenable number.

252121433345 is a deficient number, since it is larger than the sum of its proper divisors (54568749031).

252121433345 is an equidigital number, since it uses as much as digits as its factorization.

252121433345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690743731.

The product of its digits is 86400, while the sum is 35.

Adding to 252121433345 its reverse (543334121252), we get a palindrome (795455554597).

The spelling of 252121433345 in words is "two hundred fifty-two billion, one hundred twenty-one million, four hundred thirty-three thousand, three hundred forty-five".