3006335032561 has 16 divisors (see below), whose sum is σ = 3606662836224. Its totient is φ = 2450061838224.

The previous prime is 3006335032543. The next prime is 3006335032583. The reversal of 3006335032561 is 1652305336003.

It is not a de Polignac number, because 3006335032561 - 2²⁹ = 3005798161649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3006335032561.

It is not an unprimeable number, because it can be changed into a prime (3006335032861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55879965 + ... + 55933738.

It is an arithmetic number, because the mean of its divisors is an integer number (225416427264).

Almost surely, 2^{3006335032561} is an apocalyptic number.

It is an amenable number.

3006335032561 is a deficient number, since it is larger than the sum of its proper divisors (600327803663).

3006335032561 is a wasteful number, since it uses less digits than its factorization.

3006335032561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111813900.

The product of its (nonzero) digits is 145800, while the sum is 37.

The spelling of 3006335032561 in words is "three trillion, six billion, three hundred thirty-five million, thirty-two thousand, five hundred sixty-one".