6577126997281 has 27 divisors (see below), whose sum is σ = 6845514940057. Its totient is φ = 6319152224000.

The previous prime is 6577126997249. The next prime is 6577126997293. The reversal of 6577126997281 is 1827996217756.

The square root of 6577126997281 is 2564591.

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 4146147091681 + 2430979905600 = 2036209^2 + 1559160^2 .

It is not a de Polignac number, because 6577126997281 - 2⁵ = 6577126997249 is a prime.

It is a super-2 number, since 2×6577126997281² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6577126997281.

It is not an unprimeable number, because it can be changed into a prime (6577126992281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7465523961 + ... + 7465524841.

Almost surely, 2^{6577126997281} is an apocalyptic number.

6577126997281 is the 2564591-st square number.

6577126997281 is the 1282296-th centered octagonal number.

It is an amenable number.

6577126997281 is a deficient number, since it is larger than the sum of its proper divisors (268387942776).

6577126997281 is an frugal number, since it uses more digits than its factorization.

6577126997281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 993 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 70.

The spelling of 6577126997281 in words is "six trillion, five hundred seventy-seven billion, one hundred twenty-six million, nine hundred ninety-seven thousand, two hundred eighty-one".