12752605224241 has 9 divisors (see below), whose sum is σ = 12819716105259. Its totient is φ = 12685843902336.

The previous prime is 12752605224239. The next prime is 12752605224253. The reversal of 12752605224241 is 14242250625721.

The square root of 12752605224241 is 3571079.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3089808106225 + 9662797118016 = 1757785^2 + 3108504^2 .

It is not a de Polignac number, because 12752605224241 - 2¹ = 12752605224239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12752605264241) 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 8 ways as a sum of consecutive naturals, for example, 689208996 + ... + 689227498.

Almost surely, 2^{12752605224241} is an apocalyptic number.

12752605224241 is the 3571079-th square number.

12752605224241 is the 1785540-th centered octagonal number.

It is an amenable number.

12752605224241 is a deficient number, since it is larger than the sum of its proper divisors (67110881018).

12752605224241 is an frugal number, since it uses more digits than its factorization.

12752605224241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37392 (or 18696 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

Adding to 12752605224241 its reverse (14242250625721), we get a palindrome (26994855849962).

The spelling of 12752605224241 in words is "twelve trillion, seven hundred fifty-two billion, six hundred five million, two hundred twenty-four thousand, two hundred forty-one".