13000520 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4587264.

The previous prime is 13000511. The next prime is 13000553. The reversal of 13000520 is 2500031.

13000520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11417 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^13000520 is an apocalyptic number.

13000520 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 13000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13000520 is an abundant number, since it is smaller than the sum of its proper divisors (19900600).

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

13000520 is a wasteful number, since it uses less digits than its factorization.

13000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13000520 is about 3605.6233857684. The cubic root of 13000520 is about 235.1366038432.

Adding to 13000520 its reverse (2500031), we get a palindrome (15500551).

It can be divided in two parts, 13000 and 520, that multiplied together give a square (6760000 = 2600²).

The spelling of 13000520 in words is "thirteen million, five hundred twenty", and thus it is an aban number.