13145000520 has 256 divisors, whose sum is σ = 41640480000. Its totient is φ = 3315200000.

The previous prime is 13145000513. The next prime is 13145000543. The reversal of 13145000520 is 2500054131.

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 63 ways as a sum of consecutive naturals, for example, 52370395 + ... + 52370645.

It is an arithmetic number, because the mean of its divisors is an integer number (162658125).

Almost surely, 2^13145000520 is an apocalyptic number.

13145000520 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 13145000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820240000).

13145000520 is an abundant number, since it is smaller than the sum of its proper divisors (28495479480).

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

13145000520 is a wasteful number, since it uses less digits than its factorization.

13145000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 13145000520 its reverse (2500054131), we get a palindrome (15645054651).

The spelling of 13145000520 in words is "thirteen billion, one hundred forty-five million, five hundred twenty", and thus it is an aban number.