2513952000000 has 2016 divisors, whose sum is σ = 10979578209600. Its totient is φ = 541900800000.

The previous prime is 2513951999981. The next prime is 2513952000011. The reversal of 2513952000000 is 2593152.

2513952000000 is a `hidden beast` number, since 2 + 5 + 139 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 58463999979 + ... + 58464000021.

It is an arithmetic number, because the mean of its divisors is an integer number (5446219350).

Almost surely, 2^{2513952000000} is an apocalyptic number.

2513952000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513952000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489789104800).

2513952000000 is an abundant number, since it is smaller than the sum of its proper divisors (8465626209600).

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

2513952000000 is an frugal number, since it uses more digits than its factorization.

2513952000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 2513952000000 its reverse (2593152), we get a palindrome (2513954593152).

The spelling of 2513952000000 in words is "two trillion, five hundred thirteen billion, nine hundred fifty-two million", and thus it is an aban number.