2553051312 has 240 divisors, whose sum is σ = 8635682400. Its totient is φ = 728953344.

The previous prime is 2553051251. The next prime is 2553051317. The reversal of 2553051312 is 2131503552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2553051317) 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 47 ways as a sum of consecutive naturals, for example, 1713864 + ... + 1715352.

It is an arithmetic number, because the mean of its divisors is an integer number (35982010).

Almost surely, 2^2553051312 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 2553051312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317841200).

2553051312 is an abundant number, since it is smaller than the sum of its proper divisors (6082631088).

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

2553051312 is an equidigital number, since it uses as much as digits as its factorization.

2553051312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2553051312 is about 50527.7281499970. The cubic root of 2553051312 is about 1366.7419181514.

Adding to 2553051312 its reverse (2131503552), we get a palindrome (4684554864).

The spelling of 2553051312 in words is "two billion, five hundred fifty-three million, fifty-one thousand, three hundred twelve".