12813510528 has 512 divisors, whose sum is σ = 47213107200. Its totient is φ = 3372668928.

The previous prime is 12813510511. The next prime is 12813510547. The reversal of 12813510528 is 82501531821.

12813510528 is a `hidden beast` number, since 1 + 2 + 81 + 3 + 51 + 0 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12813510492 and 12813510501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25473925 + ... + 25474427.

It is an arithmetic number, because the mean of its divisors is an integer number (92213100).

Almost surely, 2^12813510528 is an apocalyptic number.

12813510528 is a gapful number since it is divisible by the number (18) 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 12813510528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606553600).

12813510528 is an abundant number, since it is smaller than the sum of its proper divisors (34399596672).

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

12813510528 is an frugal number, since it uses more digits than its factorization.

12813510528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 12813510528 in words is "twelve billion, eight hundred thirteen million, five hundred ten thousand, five hundred twenty-eight".