2513451112000 has 224 divisors, whose sum is σ = 6444937905120. Its totient is φ = 969847603200.

The previous prime is 2513451111991. The next prime is 2513451112001. The reversal of 2513451112000 is 2111543152.

It can be written as a sum of positive squares in 16 ways, for example, as 663938150976 + 1849512961024 = 814824^2 + 1359968^2 .

It is a super-3 number, since 3×2513451112000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2513451112001) 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 31 ways as a sum of consecutive naturals, for example, 300899824 + ... + 300908176.

Almost surely, 2^{2513451112000} is an apocalyptic number.

2513451112000 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 2513451112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222468952560).

2513451112000 is an abundant number, since it is smaller than the sum of its proper divisors (3931486793120).

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

2513451112000 is a wasteful number, since it uses less digits than its factorization.

2513451112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 2513451112000 its reverse (2111543152), we get a palindrome (2515562655152).

The spelling of 2513451112000 in words is "two trillion, five hundred thirteen billion, four hundred fifty-one million, one hundred twelve thousand".