5112603505152 has 2400 divisors, whose sum is σ = 20174173145280. Its totient is φ = 1267012730880.

The previous prime is 5112603505109. The next prime is 5112603505193. The reversal of 5112603505152 is 2515053062115.

5112603505152 is a `hidden beast` number, since 51 + 1 + 2 + 60 + 35 + 0 + 515 + 2 = 666.

It is a super-2 number, since 2×5112603505152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 32564353458 + ... + 32564353614.

Almost surely, 2^{5112603505152} is an apocalyptic number.

5112603505152 is a gapful number since it is divisible by the number (52) 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 5112603505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087086572640).

5112603505152 is an abundant number, since it is smaller than the sum of its proper divisors (15061569640128).

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

5112603505152 is a wasteful number, since it uses less digits than its factorization.

5112603505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 5112603505152 its reverse (2515053062115), we get a palindrome (7627656567267).

The spelling of 5112603505152 in words is "five trillion, one hundred twelve billion, six hundred three million, five hundred five thousand, one hundred fifty-two".