6005105537 has 2 divisors, whose sum is σ = 6005105538. Its totient is φ = 6005105536.

The previous prime is 6005105507. The next prime is 6005105539. The reversal of 6005105537 is 7355015006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5954282896 + 50822641 = 77164^2 + 7129^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005105537 - 2¹⁸ = 6004843393 is a prime.

It is a super-2 number, since 2×6005105537² = 72122585021016116738, which contains 22 as substring.

Together with 6005105539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6005105539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002552768 + 3002552769.

It is an arithmetic number, because the mean of its divisors is an integer number (3002552769).

Almost surely, 2^6005105537 is an apocalyptic number.

It is an amenable number.

6005105537 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005105537 is an equidigital number, since it uses as much as digits as its factorization.

6005105537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 6005105537 is about 77492.6160159792. The cubic root of 6005105537 is about 1817.6358565110.

The spelling of 6005105537 in words is "six billion, five million, one hundred five thousand, five hundred thirty-seven".