2551005312 has 192 divisors, whose sum is σ = 7294909440. Its totient is φ = 789626880.

The previous prime is 2551005277. The next prime is 2551005319. The reversal of 2551005312 is 2135001552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551005319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14093862 + ... + 14094042.

It is an arithmetic number, because the mean of its divisors is an integer number (37994320).

Almost surely, 2^2551005312 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 2551005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647454720).

2551005312 is an abundant number, since it is smaller than the sum of its proper divisors (4743904128).

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

2551005312 is a wasteful number, since it uses less digits than its factorization.

2551005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2551005312 is about 50507.4777829976. The cubic root of 2551005312 is about 1366.3767209880.

Adding to 2551005312 its reverse (2135001552), we get a palindrome (4686006864).

The spelling of 2551005312 in words is "two billion, five hundred fifty-one million, five thousand, three hundred twelve".