6513944331049 has 9 divisors (see below), whose sum is σ = 6522129434199. Its totient is φ = 6505769496720.

The previous prime is 6513944330983. The next prime is 6513944331079. The reversal of 6513944331049 is 9401334493156.

The square root of 6513944331049 is 2552243.

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., 4810814929449 + 1703129401600 = 2193357^2 + 1305040^2 .

It is not a de Polignac number, because 6513944331049 - 2¹⁷ = 6513944199977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6513944330987 and 6513944331005.

It is not an unprimeable number, because it can be changed into a prime (6513944331079) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3784975509 + ... + 3784977229.

Almost surely, 2^{6513944331049} is an apocalyptic number.

6513944331049 is the 2552243-rd square number.

6513944331049 is the 1276122-nd centered octagonal number.

It is an amenable number.

6513944331049 is a deficient number, since it is larger than the sum of its proper divisors (8185103150).

6513944331049 is an frugal number, since it uses more digits than its factorization.

6513944331049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 6513944331049 in words is "six trillion, five hundred thirteen billion, nine hundred forty-four million, three hundred thirty-one thousand, forty-nine".