1005259005 has 60 divisors (see below), whose sum is σ = 1833244380. Its totient is φ = 526939776.

The previous prime is 1005259001. The next prime is 1005259007. The reversal of 1005259005 is 5009525001.

It can be written as a sum of positive squares in 2 ways, for example, as 273340089 + 731918916 = 16533^2 + 27054^2 .

It is not a de Polignac number, because 1005259005 - 2² = 1005259001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1005259005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005259001) 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 59 ways as a sum of consecutive naturals, for example, 6019432 + ... + 6019598.

It is an arithmetic number, because the mean of its divisors is an integer number (30554073).

Almost surely, 2^1005259005 is an apocalyptic number.

1005259005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005259005 is a deficient number, since it is larger than the sum of its proper divisors (827985375).

1005259005 is an frugal number, since it uses more digits than its factorization.

1005259005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 1005259005 is about 31705.8197339227. The cubic root of 1005259005 is about 1001.7499375988.

The spelling of 1005259005 in words is "one billion, five million, two hundred fifty-nine thousand, five".