2005753993 has 16 divisors (see below), whose sum is σ = 2162499984. Its totient is φ = 1853429760.

The previous prime is 2005753991. The next prime is 2005754039. The reversal of 2005753993 is 3993575002.

It can be written as a sum of positive squares in 8 ways, for example, as 162511504 + 1843242489 = 12748^2 + 42933^2 .

It is not a de Polignac number, because 2005753993 - 2¹ = 2005753991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005753991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700621 + ... + 703477.

It is an arithmetic number, because the mean of its divisors is an integer number (135156249).

Almost surely, 2^2005753993 is an apocalyptic number.

It is an amenable number.

2005753993 is a deficient number, since it is larger than the sum of its proper divisors (156745991).

2005753993 is a wasteful number, since it uses less digits than its factorization.

2005753993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612.

The product of its (nonzero) digits is 255150, while the sum is 43.

The square root of 2005753993 is about 44785.6449434414. The cubic root of 2005753993 is about 1261.1281558377.

The spelling of 2005753993 in words is "two billion, five million, seven hundred fifty-three thousand, nine hundred ninety-three".