6005505601 has 2 divisors, whose sum is σ = 6005505602. Its totient is φ = 6005505600.

The previous prime is 6005505589. The next prime is 6005505607. The reversal of 6005505601 is 1065055006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5587712001 + 417793600 = 74751^2 + 20440^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005505601 - 2¹⁵ = 6005472833 is a prime.

It is a super-3 number, since 3×6005505601³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6005505601.

It is not a weakly prime, because it can be changed into another prime (6005505607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002752800 + 3002752801.

It is an arithmetic number, because the mean of its divisors is an integer number (3002752801).

Almost surely, 2^6005505601 is an apocalyptic number.

It is an amenable number.

6005505601 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005505601 is an equidigital number, since it uses as much as digits as its factorization.

6005505601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 6005505601 is about 77495.1972769926. The cubic root of 6005505601 is about 1817.6762196386.

The spelling of 6005505601 in words is "six billion, five million, five hundred five thousand, six hundred one".