13128528500 has 48 divisors (see below), whose sum is σ = 28701905232. Its totient is φ = 5246064000.

The previous prime is 13128528493. The next prime is 13128528509. The reversal of 13128528500 is 582582131.

It can be written as a sum of positive squares in 8 ways, for example, as 3185247844 + 9943280656 = 56438^2 + 99716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13128528509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497642 + ... + 523358.

It is an arithmetic number, because the mean of its divisors is an integer number (597956359).

Almost surely, 2^13128528500 is an apocalyptic number.

13128528500 is a gapful number since it is divisible by the number (10) 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 13128528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350952616).

13128528500 is an abundant number, since it is smaller than the sum of its proper divisors (15573376732).

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

13128528500 is a wasteful number, since it uses less digits than its factorization.

13128528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26757 (or 26745 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 13128528500 in words is "thirteen billion, one hundred twenty-eight million, five hundred twenty-eight thousand, five hundred".