1005249993 has 32 divisors (see below), whose sum is σ = 1503722880. Its totient is φ = 592151040.

The previous prime is 1005249961. The next prime is 1005250019. The reversal of 1005249993 is 3999425001.

It is not a de Polignac number, because 1005249993 - 2⁵ = 1005249961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005249943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188005 + ... + 193277.

It is an arithmetic number, because the mean of its divisors is an integer number (46991340).

Almost surely, 2^1005249993 is an apocalyptic number.

It is an amenable number.

1005249993 is a deficient number, since it is larger than the sum of its proper divisors (498472887).

1005249993 is a wasteful number, since it uses less digits than its factorization.

1005249993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1005249993 is about 31705.6776145851. The cubic root of 1005249993 is about 1001.7469440759.

The spelling of 1005249993 in words is "one billion, five million, two hundred forty-nine thousand, nine hundred ninety-three".