3012504516 has 288 divisors, whose sum is σ = 9560678400. Its totient is φ = 796594176.

The previous prime is 3012504491. The next prime is 3012504529. The reversal of 3012504516 is 6154052103.

It is a self number, because there is not a number n which added to its sum of digits gives 3012504516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23720445 + ... + 23720571.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 2^3012504516 is an apocalyptic number.

3012504516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012504516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780339200).

3012504516 is an abundant number, since it is smaller than the sum of its proper divisors (6548173884).

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

3012504516 is a wasteful number, since it uses less digits than its factorization.

3012504516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3012504516 is about 54886.2871398676. The cubic root of 3012504516 is about 1444.2506407008.

Adding to 3012504516 its reverse (6154052103), we get a palindrome (9166556619).

It can be divided in two parts, 3012 and 504516, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 3012504516 in words is "three billion, twelve million, five hundred four thousand, five hundred sixteen".