2813212527552 has 448 divisors, whose sum is σ = 10013777280000. Its totient is φ = 756041416704.

The previous prime is 2813212527551. The next prime is 2813212527557. The reversal of 2813212527552 is 2557252123182.

It is a happy number.

2813212527552 is a `hidden beast` number, since 2 + 8 + 1 + 32 + 12 + 52 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2813212527552² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2813212527498 and 2813212527507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813212527551) 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, 480970324 + ... + 480976172.

Almost surely, 2^{2813212527552} 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 2813212527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006888640000).

2813212527552 is an abundant number, since it is smaller than the sum of its proper divisors (7200564752448).

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

2813212527552 is a wasteful number, since it uses less digits than its factorization.

2813212527552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8217 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 2813212527552 in words is "two trillion, eight hundred thirteen billion, two hundred twelve million, five hundred twenty-seven thousand, five hundred fifty-two".