3005052524000 has 192 divisors, whose sum is σ = 7578567360000. Its totient is φ = 1170366976000.

The previous prime is 3005052523981. The next prime is 3005052524009. The reversal of 3005052524000 is 4252505003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005052524009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83458001 + ... + 83493999.

It is an arithmetic number, because the mean of its divisors is an integer number (39471705000).

Almost surely, 2^{3005052524000} 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 3005052524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789283680000).

3005052524000 is an abundant number, since it is smaller than the sum of its proper divisors (4573514836000).

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

3005052524000 is a wasteful number, since it uses less digits than its factorization.

3005052524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36574 (or 36556 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The spelling of 3005052524000 in words is "three trillion, five billion, fifty-two million, five hundred twenty-four thousand".