13006826500 has 48 divisors (see below), whose sum is σ = 28551322800. Its totient is φ = 5176281600.

The previous prime is 13006826477. The next prime is 13006826527. The reversal of 13006826500 is 562860031.

It can be written as a sum of positive squares in 8 ways, for example, as 664505284 + 12342321216 = 25778^2 + 111096^2 .

It is a super-3 number, since 3×13006826500³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32476 + ... + 164524.

It is an arithmetic number, because the mean of its divisors is an integer number (594819225).

Almost surely, 2^13006826500 is an apocalyptic number.

13006826500 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 13006826500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275661400).

13006826500 is an abundant number, since it is smaller than the sum of its proper divisors (15544496300).

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

13006826500 is a wasteful number, since it uses less digits than its factorization.

13006826500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132265 (or 132253 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 13006826500 in words is "thirteen billion, six million, eight hundred twenty-six thousand, five hundred".