3126563067681 has 27 divisors (see below), whose sum is σ = 4666773679347. Its totient is φ = 2017031370480.

The previous prime is 3126563067659. The next prime is 3126563067737. The reversal of 3126563067681 is 1867603656213.

The square root of 3126563067681 is 1768209.

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

3126563067681 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 563 + 0 + 6 + 76 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328878225 + 3126234189456 = 18135^2 + 1768116^2 .

It is not a de Polignac number, because 3126563067681 - 2³¹ = 3124415584033 is a prime.

It is a super-2 number, since 2×3126563067681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3126563062681) 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, 164433931 + ... + 164452943.

Almost surely, 2^{3126563067681} is an apocalyptic number.

3126563067681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3126563067681 is the 1768209-th square number.

3126563067681 is the 884105-th centered octagonal number.

It is an amenable number.

3126563067681 is a deficient number, since it is larger than the sum of its proper divisors (1540210611666).

3126563067681 is an frugal number, since it uses more digits than its factorization.

3126563067681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38094 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3126563067681 in words is "three trillion, one hundred twenty-six billion, five hundred sixty-three million, sixty-seven thousand, six hundred eighty-one".