6481102731601 has 45 divisors (see below), whose sum is σ = 7217427016429. Its totient is φ = 5819415956288.

The previous prime is 6481102731541. The next prime is 6481102731611. The reversal of 6481102731601 is 1061372011846.

The square root of 6481102731601 is 2545801.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2011430226001 + 4469672505600 = 1418249^2 + 2114160^2 .

It is not a de Polignac number, because 6481102731601 - 2¹⁷ = 6481102600529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6481102731611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16921939056 + ... + 16921939438.

Almost surely, 2^{6481102731601} is an apocalyptic number.

6481102731601 is the 2545801-st square number.

6481102731601 is the 1272901-st centered octagonal number.

It is an amenable number.

6481102731601 is a deficient number, since it is larger than the sum of its proper divisors (736324284828).

6481102731601 is an frugal number, since it uses more digits than its factorization.

6481102731601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 6481102731601 in words is "six trillion, four hundred eighty-one billion, one hundred two million, seven hundred thirty-one thousand, six hundred one".