3006561567 has 16 divisors (see below), whose sum is σ = 4142527488. Its totient is φ = 1937624640.

The previous prime is 3006561553. The next prime is 3006561671. The reversal of 3006561567 is 7651656003.

It is not a de Polignac number, because 3006561567 - 2²³ = 2998172959 is a prime.

It is a super-2 number, since 2×3006561567² = 18078824912322990978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006561067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71668 + ... + 105590.

It is an arithmetic number, because the mean of its divisors is an integer number (258907968).

Almost surely, 2^3006561567 is an apocalyptic number.

3006561567 is a deficient number, since it is larger than the sum of its proper divisors (1135965921).

3006561567 is a wasteful number, since it uses less digits than its factorization.

3006561567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34910.

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3006561567 is about 54832.1216715166. The cubic root of 3006561567 is about 1443.3002954330.

The spelling of 3006561567 in words is "three billion, six million, five hundred sixty-one thousand, five hundred sixty-seven".