6516129234241 has 27 divisors (see below), whose sum is σ = 7232066395113. Its totient is φ = 5866650599040.

The previous prime is 6516129234217. The next prime is 6516129234269. The reversal of 6516129234241 is 1424329216156.

The square root of 6516129234241 is 2552671.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20257544241 + 6495871690000 = 142329^2 + 2548700^2 .

It is not a de Polignac number, because 6516129234241 - 2¹⁵ = 6516129201473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6516129234191 and 6516129234200.

It is not an unprimeable number, because it can be changed into a prime (6516129232241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3060651465 + ... + 3060653593.

Almost surely, 2^{6516129234241} is an apocalyptic number.

6516129234241 is the 2552671-st square number.

6516129234241 is the 1276336-th centered octagonal number.

It is an amenable number.

6516129234241 is a deficient number, since it is larger than the sum of its proper divisors (715937160872).

6516129234241 is an frugal number, since it uses more digits than its factorization.

6516129234241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 2249 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 6516129234241 in words is "six trillion, five hundred sixteen billion, one hundred twenty-nine million, two hundred thirty-four thousand, two hundred forty-one".