3005117061 has 16 divisors (see below), whose sum is σ = 4038480000. Its totient is φ = 1987622208.

The previous prime is 3005116999. The next prime is 3005117111. The reversal of 3005117061 is 1607115003.

3005117061 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3005117061 - 2²⁶ = 2938008197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005117461) 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, 329440 + ... + 338438.

It is an arithmetic number, because the mean of its divisors is an integer number (252405000).

Almost surely, 2^3005117061 is an apocalyptic number.

It is an amenable number.

3005117061 is a deficient number, since it is larger than the sum of its proper divisors (1033362939).

3005117061 is a wasteful number, since it uses less digits than its factorization.

3005117061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 3005117061 is about 54818.9480107016. The cubic root of 3005117061 is about 1443.0691133035.

The spelling of 3005117061 in words is "three billion, five million, one hundred seventeen thousand, sixty-one".