3006306145605 has 48 divisors (see below), whose sum is σ = 5687138749824. Its totient is φ = 1351781665920.

The previous prime is 3006306145589. The next prime is 3006306145651. The reversal of 3006306145605 is 5065416036003.

It is a happy number.

It is not a de Polignac number, because 3006306145605 - 2⁴ = 3006306145589 is a prime.

It is a super-2 number, since 2×3006306145605² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33481497 + ... + 33571166.

It is an arithmetic number, because the mean of its divisors is an integer number (118482057288).

Almost surely, 2^{3006306145605} is an apocalyptic number.

3006306145605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3006306145605 is a deficient number, since it is larger than the sum of its proper divisors (2680832604219).

3006306145605 is a wasteful number, since it uses less digits than its factorization.

3006306145605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67052746 (or 67052739 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 3006306145605 in words is "three trillion, six billion, three hundred six million, one hundred forty-five thousand, six hundred five".