2553516304 has 40 divisors (see below), whose sum is σ = 5196845952. Its totient is φ = 1213132800.

The previous prime is 2553516299. The next prime is 2553516311. The reversal of 2553516304 is 4036153552.

It is a self number, because there is not a number n which added to its sum of digits gives 2553516304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32592 + ... + 78544.

Almost surely, 2^2553516304 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 2553516304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598422976).

2553516304 is an abundant number, since it is smaller than the sum of its proper divisors (2643329648).

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

2553516304 is a wasteful number, since it uses less digits than its factorization.

2553516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46135 (or 46129 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 2553516304 is about 50532.3292952146. The cubic root of 2553516304 is about 1366.8248888664.

Adding to 2553516304 its reverse (4036153552), we get a palindrome (6589669856).

The spelling of 2553516304 in words is "two billion, five hundred fifty-three million, five hundred sixteen thousand, three hundred four".