13250055013500 has 768 divisors, whose sum is σ = 42269319106560. Its totient is φ = 3223008000000.

The previous prime is 13250055013427. The next prime is 13250055013513. The reversal of 13250055013500 is 531055005231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42604678345 + ... + 42604678655.

It is an arithmetic number, because the mean of its divisors is an integer number (55038175920).

Almost surely, 2^{13250055013500} is an apocalyptic number.

13250055013500 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 13250055013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134659553280).

13250055013500 is an abundant number, since it is smaller than the sum of its proper divisors (29019264093060).

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

13250055013500 is a wasteful number, since it uses less digits than its factorization.

13250055013500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 13250055013500 in words is "thirteen trillion, two hundred fifty billion, fifty-five million, thirteen thousand, five hundred".