1005828011 has 8 divisors (see below), whose sum is σ = 1026045360. Its totient is φ = 985656672.

The previous prime is 1005827981. The next prime is 1005828049. The reversal of 1005828011 is 1108285001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005828011 - 2¹⁸ = 1005565867 is a prime.

It is a super-2 number, since 2×1005828011² = 2023379975424432242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005828311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34481 + ... + 56573.

It is an arithmetic number, because the mean of its divisors is an integer number (128255670).

Almost surely, 2^1005828011 is an apocalyptic number.

1005828011 is a deficient number, since it is larger than the sum of its proper divisors (20217349).

1005828011 is an equidigital number, since it uses as much as digits as its factorization.

1005828011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23005.

The product of its (nonzero) digits is 640, while the sum is 26.

The square root of 1005828011 is about 31714.7916751789. The cubic root of 1005828011 is about 1001.9389085373.

The spelling of 1005828011 in words is "one billion, five million, eight hundred twenty-eight thousand, eleven".