2513323220 has 24 divisors (see below), whose sum is σ = 5364505608. Its totient is φ = 988848000.

The previous prime is 2513323187. The next prime is 2513323223. The reversal of 2513323220 is 223233152.

It can be written as a sum of positive squares in 4 ways, for example, as 35473936 + 2477849284 = 5956^2 + 49778^2 .

It is a super-3 number, since 3×2513323220³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513323223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1028831 + ... + 1031270.

It is an arithmetic number, because the mean of its divisors is an integer number (223521067).

Almost surely, 2^2513323220 is an apocalyptic number.

2513323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513323220 is an abundant number, since it is smaller than the sum of its proper divisors (2851182388).

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

2513323220 is a wasteful number, since it uses less digits than its factorization.

2513323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060171 (or 2060169 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2513323220 is about 50133.0551632354. The cubic root of 2513323220 is about 1359.6155235262.

Adding to 2513323220 its reverse (223233152), we get a palindrome (2736556372).

The spelling of 2513323220 in words is "two billion, five hundred thirteen million, three hundred twenty-three thousand, two hundred twenty".