1005151543552 has 144 divisors (see below), whose sum is σ = 2280006126720. Its totient is φ = 438756950016.

The previous prime is 1005151543471. The next prime is 1005151543603. The reversal of 1005151543552 is 2553451515001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6738643 + ... + 6886189.

It is an arithmetic number, because the mean of its divisors is an integer number (15833375880).

Almost surely, 2^{1005151543552} 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 1005151543552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140003063360).

1005151543552 is an abundant number, since it is smaller than the sum of its proper divisors (1274854583168).

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

1005151543552 is a wasteful number, since it uses less digits than its factorization.

1005151543552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147688 (or 147674 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 1005151543552 in words is "one trillion, five billion, one hundred fifty-one million, five hundred forty-three thousand, five hundred fifty-two".