6581105607193 has 6 divisors (see below), whose sum is σ = 7126285953534. Its totient is φ = 6074866714176.

The previous prime is 6581105607191. The next prime is 6581105607203. The reversal of 6581105607193 is 3917065011856.

It can be written as a sum of positive squares in 3 ways, for example, as 54986498064 + 6526119109129 = 234492^2 + 2554627^2 .

It is not a de Polignac number, because 6581105607193 - 2¹ = 6581105607191 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6581105607193.

It is not an unprimeable number, because it can be changed into a prime (6581105607191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19470726480 + ... + 19470726817.

It is an arithmetic number, because the mean of its divisors is an integer number (1187714325589).

Almost surely, 2^{6581105607193} is an apocalyptic number.

It is an amenable number.

6581105607193 is a deficient number, since it is larger than the sum of its proper divisors (545180346341).

6581105607193 is a wasteful number, since it uses less digits than its factorization.

6581105607193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38941453323 (or 38941453310 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 52.

The spelling of 6581105607193 in words is "six trillion, five hundred eighty-one billion, one hundred five million, six hundred seven thousand, one hundred ninety-three".