2013520520 has 64 divisors (see below), whose sum is σ = 4964682240. Its totient is φ = 728870400.

The previous prime is 2013520517. The next prime is 2013520559. The reversal of 2013520520 is 250253102.

It is a super-3 number, since 3×2013520520³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2013520492 and 2013520501.

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, 87860 + ... + 108380.

It is an arithmetic number, because the mean of its divisors is an integer number (77573160).

Almost surely, 2^2013520520 is an apocalyptic number.

2013520520 is a gapful number since it is divisible by the number (20) 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 2013520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482341120).

2013520520 is an abundant number, since it is smaller than the sum of its proper divisors (2951161720).

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

2013520520 is a wasteful number, since it uses less digits than its factorization.

2013520520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20766 (or 20762 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2013520520 is about 44872.2689419646. The cubic root of 2013520520 is about 1262.7538073522.

Adding to 2013520520 its reverse (250253102), we get a palindrome (2263773622).

The spelling of 2013520520 in words is "two billion, thirteen million, five hundred twenty thousand, five hundred twenty".