2513233451352 has 256 divisors, whose sum is σ = 7436325657600. Its totient is φ = 700361164800.

The previous prime is 2513233451279. The next prime is 2513233451357. The reversal of 2513233451352 is 2531543323152.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2513233451352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513233451357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318086602 + ... + 318094502.

It is an arithmetic number, because the mean of its divisors is an integer number (29048147100).

Almost surely, 2^{2513233451352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513233451352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718162828800).

2513233451352 is an abundant number, since it is smaller than the sum of its proper divisors (4923092206248).

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

2513233451352 is a wasteful number, since it uses less digits than its factorization.

2513233451352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10294 counting only the distinct ones).

The product of its digits is 324000, while the sum is 39.

The spelling of 2513233451352 in words is "two trillion, five hundred thirteen billion, two hundred thirty-three million, four hundred fifty-one thousand, three hundred fifty-two".