1005833781330 has 128 divisors (see below), whose sum is σ = 2904434565120. Its totient is φ = 217776625920.

The previous prime is 1005833781313. The next prime is 1005833781343. The reversal of 1005833781330 is 331873385001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51888240 + ... + 51907620.

It is an arithmetic number, because the mean of its divisors is an integer number (22690895040).

Almost surely, 2^{1005833781330} is an apocalyptic number.

1005833781330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005833781330 is an abundant number, since it is smaller than the sum of its proper divisors (1898600783790).

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

1005833781330 is a wasteful number, since it uses less digits than its factorization.

1005833781330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32424.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1005833781330 in words is "one trillion, five billion, eight hundred thirty-three million, seven hundred eighty-one thousand, three hundred thirty".