3005112500 has 72 divisors (see below), whose sum is σ = 7079281272. Its totient is φ = 1109520000.

The previous prime is 3005112497. The next prime is 3005112547. The reversal of 3005112500 is 52115003.

It can be written as a sum of positive squares in 12 ways, for example, as 2880254224 + 124858276 = 53668^2 + 11174^2 .

It is a super-2 number, since 2×3005112500² = 18061402275312500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153254 + ... + 171746.

It is an arithmetic number, because the mean of its divisors is an integer number (98323351).

Almost surely, 2^3005112500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539640636).

3005112500 is an abundant number, since it is smaller than the sum of its proper divisors (4074168772).

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

3005112500 is a wasteful number, since it uses less digits than its factorization.

3005112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18535 (or 18513 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 3005112500 is about 54818.9064101064. The cubic root of 3005112500 is about 1443.0683832331.

Adding to 3005112500 its reverse (52115003), we get a palindrome (3057227503).

The spelling of 3005112500 in words is "three billion, five million, one hundred twelve thousand, five hundred".