6754754218081 has 27 divisors (see below), whose sum is σ = 7328843742969. Its totient is φ = 6224604236928.

The previous prime is 6754754218057. The next prime is 6754754218133. The reversal of 6754754218081 is 1808124574576.

The square root of 6754754218081 is 2598991.

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 4838454481 + 6749915763600 = 69559^2 + 2598060^2 .

It is not a de Polignac number, because 6754754218081 - 2¹⁷ = 6754754087009 is a prime.

It is a super-2 number, since 2×6754754218081² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6754754218181) 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, 1827088825 + ... + 1827092521.

It is an arithmetic number, because the mean of its divisors is an integer number (271438657147).

Almost surely, 2^{6754754218081} is an apocalyptic number.

6754754218081 is the 2598991-st square number.

6754754218081 is the 1299496-th centered octagonal number.

It is an amenable number.

6754754218081 is a deficient number, since it is larger than the sum of its proper divisors (574089524888).

6754754218081 is an frugal number, since it uses more digits than its factorization.

6754754218081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7506 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 58.

The spelling of 6754754218081 in words is "six trillion, seven hundred fifty-four billion, seven hundred fifty-four million, two hundred eighteen thousand, eighty-one".