3180166506 has 96 divisors (see below), whose sum is σ = 8233617600. Its totient is φ = 875696640.

The previous prime is 3180166501. The next prime is 3180166511. The reversal of 3180166506 is 6056610813.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3180166501) and next prime (3180166511).

It is a super-2 number, since 2×3180166506² = 20226918011768496072, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3180166501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81325 + ... + 113903.

It is an arithmetic number, because the mean of its divisors is an integer number (85766850).

Almost surely, 2^3180166506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3180166506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116808800).

3180166506 is an abundant number, since it is smaller than the sum of its proper divisors (5053451094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3180166506 is a wasteful number, since it uses less digits than its factorization.

3180166506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32644 (or 32641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3180166506 is about 56392.9650399764. The cubic root of 3180166506 is about 1470.5618205131.

The spelling of 3180166506 in words is "three billion, one hundred eighty million, one hundred sixty-six thousand, five hundred six".