6581711060641 has 8 divisors (see below), whose sum is σ = 6610330745568. Its totient is φ = 6553102200000.

The previous prime is 6581711060633. The next prime is 6581711060671. The reversal of 6581711060641 is 1460601171856.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6581711060641 - 2³ = 6581711060633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6581711060591 and 6581711060600.

It is not an unprimeable number, because it can be changed into a prime (6581711060671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486135 + ... + 3920716.

It is an arithmetic number, because the mean of its divisors is an integer number (826291343196).

Almost surely, 2^{6581711060641} is an apocalyptic number.

It is an amenable number.

6581711060641 is a deficient number, since it is larger than the sum of its proper divisors (28619684927).

6581711060641 is a wasteful number, since it uses less digits than its factorization.

6581711060641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412143.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 6581711060641 in words is "six trillion, five hundred eighty-one billion, seven hundred eleven million, sixty thousand, six hundred forty-one".