2551312512 has 256 divisors, whose sum is σ = 8671795200. Its totient is φ = 723354624.

The previous prime is 2551312501. The next prime is 2551312523. The reversal of 2551312512 is 2152131552.

2551312512 is a `hidden beast` number, since 25 + 513 + 125 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2551312501) and next prime (2551312523).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3942973 + ... + 3943619.

It is an arithmetic number, because the mean of its divisors is an integer number (33874200).

Almost surely, 2^2551312512 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 2551312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335897600).

2551312512 is an abundant number, since it is smaller than the sum of its proper divisors (6120482688).

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

2551312512 is a wasteful number, since it uses less digits than its factorization.

2551312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 2551312512 is about 50510.5188252902. The cubic root of 2551312512 is about 1366.4315665658.

It can be divided in two parts, 25513 and 12512, that added together give a square (38025 = 195²).

The spelling of 2551312512 in words is "two billion, five hundred fifty-one million, three hundred twelve thousand, five hundred twelve".