1004144561252 has 96 divisors (see below), whose sum is σ = 2130026707200. Its totient is φ = 413670136320.

The previous prime is 1004144561213. The next prime is 1004144561297. The reversal of 1004144561252 is 2521654414001.

1004144561252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094252 + ... + 4332572.

It is an arithmetic number, because the mean of its divisors is an integer number (22187778200).

Almost surely, 2^{1004144561252} 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 1004144561252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065013353600).

1004144561252 is an abundant number, since it is smaller than the sum of its proper divisors (1125882145948).

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

1004144561252 is a wasteful number, since it uses less digits than its factorization.

1004144561252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238466 (or 238450 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 1004144561252 its reverse (2521654414001), we get a palindrome (3525798975253).

The spelling of 1004144561252 in words is "one trillion, four billion, one hundred forty-four million, five hundred sixty-one thousand, two hundred fifty-two".