2513282154318 has 256 divisors, whose sum is σ = 6498048614400. Its totient is φ = 713519539200.

The previous prime is 2513282154293. The next prime is 2513282154323. The reversal of 2513282154318 is 8134512823152.

2513282154318 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 282 + 1 + 54 + 318 = 666.

2513282154318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96834243 + ... + 96860193.

It is an arithmetic number, because the mean of its divisors is an integer number (25383002400).

Almost surely, 2^{2513282154318} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513282154318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249024307200).

2513282154318 is an abundant number, since it is smaller than the sum of its proper divisors (3984766460082).

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

2513282154318 is a wasteful number, since it uses less digits than its factorization.

2513282154318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26184 (or 26178 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 2513282154318 in words is "two trillion, five hundred thirteen billion, two hundred eighty-two million, one hundred fifty-four thousand, three hundred eighteen".