3013008053328 has 420 divisors, whose sum is σ = 10964760936948. Its totient is φ = 794637527040.

The previous prime is 3013008053323. The next prime is 3013008053329. The reversal of 3013008053328 is 8233508003103.

3013008053328 is a `hidden beast` number, since 30 + 13 + 0 + 0 + 80 + 533 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 341509334544 + 2671498718784 = 584388^2 + 1634472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3013008053292 and 3013008053301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013008053323) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7227208 + ... + 7632728.

Almost surely, 2^{3013008053328} 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 3013008053328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482380468474).

3013008053328 is an abundant number, since it is smaller than the sum of its proper divisors (7951752883620).

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

3013008053328 is a wasteful number, since it uses less digits than its factorization.

3013008053328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405574 (or 405546 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3013008053328 in words is "three trillion, thirteen billion, eight million, fifty-three thousand, three hundred twenty-eight".