2513442333304 has 384 divisors, whose sum is σ = 5967628369920. Its totient is φ = 986956185600.

The previous prime is 2513442333257. The next prime is 2513442333313. The reversal of 2513442333304 is 4033332443152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6848616529 + ... + 6848616895.

It is an arithmetic number, because the mean of its divisors is an integer number (15540698880).

Almost surely, 2^{2513442333304} 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 2513442333304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983814184960).

2513442333304 is an abundant number, since it is smaller than the sum of its proper divisors (3454186036616).

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

2513442333304 is a wasteful number, since it uses less digits than its factorization.

2513442333304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 2513442333304 its reverse (4033332443152), we get a palindrome (6546774776456).

The spelling of 2513442333304 in words is "two trillion, five hundred thirteen billion, four hundred forty-two million, three hundred thirty-three thousand, three hundred four".