2513305816 has 64 divisors (see below), whose sum is σ = 5456885760. Its totient is φ = 1062960000.

The previous prime is 2513305813. The next prime is 2513305849. The reversal of 2513305816 is 6185033152.

It is a super-2 number, since 2×2513305816² = 12633412249478851712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513305813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2437221 + ... + 2438251.

It is an arithmetic number, because the mean of its divisors is an integer number (85263840).

Almost surely, 2^2513305816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513305816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728442880).

2513305816 is an abundant number, since it is smaller than the sum of its proper divisors (2943579944).

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

2513305816 is a wasteful number, since it uses less digits than its factorization.

2513305816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2513305816 is about 50132.8815848441. The cubic root of 2513305816 is about 1359.6123852108.

Adding to 2513305816 its reverse (6185033152), we get a palindrome (8698338968).

The spelling of 2513305816 in words is "two billion, five hundred thirteen million, three hundred five thousand, eight hundred sixteen".