6005105536 has 32 divisors (see below), whose sum is σ = 11972066400. Its totient is φ = 3000351744.

The previous prime is 6005105507. The next prime is 6005105537. The reversal of 6005105536 is 6355015006.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6005105536² = 72122584996995694592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6005105498 and 6005105507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005105537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165660 + ... + 198628.

It is an arithmetic number, because the mean of its divisors is an integer number (374127075).

Almost surely, 2^6005105536 is an apocalyptic number.

It is an amenable number.

6005105536 is a deficient number, since it is larger than the sum of its proper divisors (5966960864).

6005105536 is a wasteful number, since it uses less digits than its factorization.

6005105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34406 (or 34394 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 6005105536 is about 77492.6160095270. The cubic root of 6005105536 is about 1817.6358564101.

The spelling of 6005105536 in words is "six billion, five million, one hundred five thousand, five hundred thirty-six".