2513352533152 has 72 divisors (see below), whose sum is σ = 5257075275900. Its totient is φ = 1182591590400.

The previous prime is 2513352533077. The next prime is 2513352533171.

2513352533152 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 2501825504656 + 11527028496 = 1581716^2 + 107364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91550724 + ... + 91578172.

Almost surely, 2^{2513352533152} 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 2513352533152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628537637950).

2513352533152 is an abundant number, since it is smaller than the sum of its proper divisors (2743722742748).

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

2513352533152 is a wasteful number, since it uses less digits than its factorization.

2513352533152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37394 (or 37369 counting only the distinct ones).

The product of its digits is 405000, while the sum is 40.

The spelling of 2513352533152 in words is "two trillion, five hundred thirteen billion, three hundred fifty-two million, five hundred thirty-three thousand, one hundred fifty-two".