2513315598336 has 351 divisors, whose sum is σ = 7610369079859. Its totient is φ = 799114838016.

The previous prime is 2513315598331. The next prime is 2513315598337. The reversal of 2513315598336 is 6338955133152.

The square root of 2513315598336 is 1585344.

It is a perfect power (a square), and thus also a powerful number.

2513315598336 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 3 + 1 + 559 + 83 + 3 + 6 = 666.

It is a Duffinian number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2513315598331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7000878925 + ... + 7000879283.

Almost surely, 2^{2513315598336} is an apocalyptic number.

2513315598336 is the 1585344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513315598336

2513315598336 is an abundant number, since it is smaller than the sum of its proper divisors (5097053481523).

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

2513315598336 is an frugal number, since it uses more digits than its factorization.

2513315598336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 387 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 2513315598336 in words is "two trillion, five hundred thirteen billion, three hundred fifteen million, five hundred ninety-eight thousand, three hundred thirty-six".