1005251424224 has 72 divisors (see below), whose sum is σ = 2089327693320. Its totient is φ = 476036289792.

The previous prime is 1005251424211. The next prime is 1005251424253. The reversal of 1005251424224 is 4224241525001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 49004882 + ... + 49025390.

It is an arithmetic number, because the mean of its divisors is an integer number (29018440185).

Almost surely, 2^{1005251424224} 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 1005251424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044663846660).

1005251424224 is an abundant number, since it is smaller than the sum of its proper divisors (1084076269096).

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

1005251424224 is a wasteful number, since it uses less digits than its factorization.

1005251424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24800 (or 24773 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 1005251424224 its reverse (4224241525001), we get a palindrome (5229492949225).

The spelling of 1005251424224 in words is "one trillion, five billion, two hundred fifty-one million, four hundred twenty-four thousand, two hundred twenty-four".