605505000601 has 2 divisors, whose sum is σ = 605505000602. Its totient is φ = 605505000600.

The previous prime is 605505000599. The next prime is 605505000643. The reversal of 605505000601 is 106000505506.

605505000601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 383809986576 + 221695014025 = 619524^2 + 470845^2 .

It is a cyclic number.

It is not a de Polignac number, because 605505000601 - 2¹ = 605505000599 is a prime.

It is a super-2 number, since 2×605505000601² (a number of 24 digits) contains 22 as substring.

Together with 605505000599, 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 605505000601.

It is not a weakly prime, because it can be changed into another prime (605505010601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 302752500300 + 302752500301.

It is an arithmetic number, because the mean of its divisors is an integer number (302752500301).

Almost surely, 2^605505000601 is an apocalyptic number.

It is an amenable number.

605505000601 is a deficient number, since it is larger than the sum of its proper divisors (1).

605505000601 is an equidigital number, since it uses as much as digits as its factorization.

605505000601 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 spelling of 605505000601 in words is "six hundred five billion, five hundred five million, six hundred one", and thus it is an aban number.