252540211441 has 8 divisors (see below), whose sum is σ = 288822234240. Its totient is φ = 216309401088.

The previous prime is 252540211373. The next prime is 252540211457. The reversal of 252540211441 is 144112045252.

252540211441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 252540211441 - 2⁹ = 252540210929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252540211141) by changing a digit.

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, 12792541 + ... + 12812266.

It is an arithmetic number, because the mean of its divisors is an integer number (36102779280).

Almost surely, 2^252540211441 is an apocalyptic number.

It is an amenable number.

252540211441 is a deficient number, since it is larger than the sum of its proper divisors (36282022799).

252540211441 is a wasteful number, since it uses less digits than its factorization.

252540211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25606223.

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 252540211441 its reverse (144112045252), we get a palindrome (396652256693).

The spelling of 252540211441 in words is "two hundred fifty-two billion, five hundred forty million, two hundred eleven thousand, four hundred forty-one".