6005075216761 has 16 divisors (see below), whose sum is σ = 6363527892480. Its totient is φ = 5647203429120.

The previous prime is 6005075216681. The next prime is 6005075216773. The reversal of 6005075216761 is 1676125705006.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6005075216761 - 2¹¹ = 6005075214713 is a prime.

It is a super-2 number, since 2×6005075216761² (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 (6005075216461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130264326 + ... + 130310416.

It is an arithmetic number, because the mean of its divisors is an integer number (397720493280).

Almost surely, 2^{6005075216761} is an apocalyptic number.

It is an amenable number.

6005075216761 is a deficient number, since it is larger than the sum of its proper divisors (358452675719).

6005075216761 is a wasteful number, since it uses less digits than its factorization.

6005075216761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52224.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 6005075216761 in words is "six trillion, five billion, seventy-five million, two hundred sixteen thousand, seven hundred sixty-one".