2553126318 has 80 divisors (see below), whose sum is σ = 5902397424. Its totient is φ = 824256000.

The previous prime is 2553126313. The next prime is 2553126319. The reversal of 2553126318 is 8136213552.

2553126318 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 12 + 631 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553126313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503646 + ... + 1505342.

Almost surely, 2^2553126318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553126318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951198712).

2553126318 is an abundant number, since it is smaller than the sum of its proper divisors (3349271106).

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

2553126318 is a wasteful number, since it uses less digits than its factorization.

2553126318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1990 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2553126318 is about 50528.4703706732. The cubic root of 2553126318 is about 1366.7553025070.

The spelling of 2553126318 in words is "two billion, five hundred fifty-three million, one hundred twenty-six thousand, three hundred eighteen".