1009143825000 has 192 divisors, whose sum is σ = 3171031416000. Its totient is φ = 267598080000.

The previous prime is 1009143824989. The next prime is 1009143825013. The reversal of 1009143825000 is 5283419001.

1009143825000 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 47 ways as a sum of consecutive naturals, for example, 13387416 + ... + 13462584.

It is an arithmetic number, because the mean of its divisors is an integer number (16515788625).

Almost surely, 2^{1009143825000} is an apocalyptic number.

1009143825000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009143825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585515708000).

1009143825000 is an abundant number, since it is smaller than the sum of its proper divisors (2161887591000).

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

1009143825000 is an equidigital number, since it uses as much as digits as its factorization.

1009143825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75382 (or 75358 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1009143825000 in words is "one trillion, nine billion, one hundred forty-three million, eight hundred twenty-five thousand".