2513221152420 has 384 divisors, whose sum is σ = 7907741614080. Its totient is φ = 591252480000.

The previous prime is 2513221152413. The next prime is 2513221152451. The reversal of 2513221152420 is 242511223152.

2513221152420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1484477094 + ... + 1484478786.

It is an arithmetic number, because the mean of its divisors is an integer number (20593077120).

Almost surely, 2^{2513221152420} is an apocalyptic number.

2513221152420 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 2513221152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953870807040).

2513221152420 is an abundant number, since it is smaller than the sum of its proper divisors (5394520461660).

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

2513221152420 is a wasteful number, since it uses less digits than its factorization.

2513221152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2513221152420 its reverse (242511223152), we get a palindrome (2755732375572).

The spelling of 2513221152420 in words is "two trillion, five hundred thirteen billion, two hundred twenty-one million, one hundred fifty-two thousand, four hundred twenty".