2011513520 has 80 divisors (see below), whose sum is σ = 4799692800. Its totient is φ = 783628032.

The previous prime is 2011513499. The next prime is 2011513529. The reversal of 2011513520 is 253151102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2011513520³ (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 = 2011513492 and 2011513501.

It is not an unprimeable number, because it can be changed into a prime (2011513529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837281 + ... + 839679.

It is an arithmetic number, because the mean of its divisors is an integer number (59996160).

Almost surely, 2^2011513520 is an apocalyptic number.

2011513520 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 2011513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399846400).

2011513520 is an abundant number, since it is smaller than the sum of its proper divisors (2788179280).

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

2011513520 is a wasteful number, since it uses less digits than its factorization.

2011513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 2011513520 is about 44849.8998884055. The cubic root of 2011513520 is about 1262.3341130275.

Adding to 2011513520 its reverse (253151102), we get a palindrome (2264664622).

The spelling of 2011513520 in words is "two billion, eleven million, five hundred thirteen thousand, five hundred twenty".