2513203200000 has 1152 divisors, whose sum is σ = 9504014672880. Its totient is φ = 663552000000.

The previous prime is 2513203199921. The next prime is 2513203200047. The reversal of 2513203200000 is 23023152.

2513203200000 is a `hidden beast` number, since 25 + 1 + 320 + 320 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24883199950 + ... + 24883200050.

Almost surely, 2^{2513203200000} is an apocalyptic number.

2513203200000 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 2513203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752007336440).

2513203200000 is an abundant number, since it is smaller than the sum of its proper divisors (6990811472880).

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

2513203200000 is an frugal number, since it uses more digits than its factorization.

2513203200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 2513203200000 its reverse (23023152), we get a palindrome (2513226223152).

The spelling of 2513203200000 in words is "two trillion, five hundred thirteen billion, two hundred three million, two hundred thousand".