6801971747481 has 27 divisors (see below), whose sum is σ = 9848009406781. Its totient is φ = 4524085192704.

The previous prime is 6801971747479. The next prime is 6801971747503. The reversal of 6801971747481 is 1847471791086.

The square root of 6801971747481 is 2608059.

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

6801971747481 is a `hidden beast` number, since 6 + 8 + 0 + 19 + 71 + 7 + 474 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6267587355225 + 534384392256 = 2503515^2 + 731016^2 .

It is not a de Polignac number, because 6801971747481 - 2¹ = 6801971747479 is a prime.

It is a super-2 number, since 2×6801971747481² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6801971747401) 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, 4827516505 + ... + 4827517913.

Almost surely, 2^{6801971747481} is an apocalyptic number.

6801971747481 is the 2608059-th square number.

6801971747481 is the 1304030-th centered octagonal number.

It is an amenable number.

6801971747481 is a deficient number, since it is larger than the sum of its proper divisors (3046037659300).

6801971747481 is an frugal number, since it uses more digits than its factorization.

6801971747481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 6801971747481 in words is "six trillion, eight hundred one billion, nine hundred seventy-one million, seven hundred forty-seven thousand, four hundred eighty-one".