13508725248 has 120 divisors (see below), whose sum is σ = 40331877300. Its totient is φ = 4347592704.

The previous prime is 13508725151. The next prime is 13508725267. The reversal of 13508725248 is 84252780531.

13508725248 is a `hidden beast` number, since 1 + 3 + 50 + 8 + 72 + 524 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12930418944 + 578306304 = 113712^2 + 24048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83088 + ... + 184176.

Almost surely, 2^13508725248 is an apocalyptic number.

13508725248 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 13508725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165938650).

13508725248 is an abundant number, since it is smaller than the sum of its proper divisors (26823152052).

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

13508725248 is a wasteful number, since it uses less digits than its factorization.

13508725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101142 (or 101123 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 13508725248 in words is "thirteen billion, five hundred eight million, seven hundred twenty-five thousand, two hundred forty-eight".