6005106001 has 2 divisors, whose sum is σ = 6005106002. Its totient is φ = 6005106000.

The previous prime is 6005105999. The next prime is 6005106013. The reversal of 6005106001 is 1006015006.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5669337025 + 335768976 = 75295^2 + 18324^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005106001 - 2¹ = 6005105999 is a prime.

It is a super-2 number, since 2×6005106001² = 72122596166492424002, which contains 22 as substring.

Together with 6005105999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 6005106001.

It is not a weakly prime, because it can be changed into another prime (6005106101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002553000 + 3002553001.

It is an arithmetic number, because the mean of its divisors is an integer number (3002553001).

Almost surely, 2^6005106001 is an apocalyptic number.

It is an amenable number.

6005106001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005106001 is an equidigital number, since it uses as much as digits as its factorization.

6005106001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 6005106001 is about 77492.6190098128. The cubic root of 6005106001 is about 1817.6359033258.

The spelling of 6005106001 in words is "six billion, five million, one hundred six thousand, one".