6005105997865 has 12 divisors (see below), whose sum is σ = 7803084481164. Its totient is φ = 4434539813184.

The previous prime is 6005105997791. The next prime is 6005105997871. The reversal of 6005105997865 is 5687995015006.

It can be written as a sum of positive squares in 6 ways, for example, as 525822218496 + 5479283779369 = 725136^2 + 2340787^2 .

It is not a de Polignac number, because 6005105997865 - 2¹¹ = 6005105995817 is a prime.

It is a super-2 number, since 2×6005105997865² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3553316314 + ... + 3553318003.

It is an arithmetic number, because the mean of its divisors is an integer number (650257040097).

Almost surely, 2^{6005105997865} is an apocalyptic number.

6005105997865 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6005105997865 is a deficient number, since it is larger than the sum of its proper divisors (1797978483299).

6005105997865 is a wasteful number, since it uses less digits than its factorization.

6005105997865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106634348 (or 7106634335 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 61.

The spelling of 6005105997865 in words is "six trillion, five billion, one hundred five million, nine hundred ninety-seven thousand, eight hundred sixty-five".