6065221296289 has 27 divisors (see below), whose sum is σ = 6332506971609. Its totient is φ = 5808977778240.

The previous prime is 6065221296269. The next prime is 6065221296349. The reversal of 6065221296289 is 9826921225606.

It is a happy number.

The square root of 6065221296289 is 2462767.

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 229808060689 + 5835413235600 = 479383^2 + 2415660^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6065221296289 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6065221296209) 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, 11641499349 + ... + 11641499869.

Almost surely, 2^{6065221296289} is an apocalyptic number.

6065221296289 is the 2462767-th square number.

6065221296289 is the 1231384-th centered octagonal number.

It is an amenable number.

6065221296289 is a deficient number, since it is larger than the sum of its proper divisors (267285675320).

6065221296289 is an frugal number, since it uses more digits than its factorization.

6065221296289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 6065221296289 in words is "six trillion, sixty-five billion, two hundred twenty-one million, two hundred ninety-six thousand, two hundred eighty-nine".