1083009005 has 16 divisors (see below), whose sum is σ = 1400399280. Its totient is φ = 799292928.

The previous prime is 1083008957. The next prime is 1083009017. The reversal of 1083009005 is 5009003801.

It can be written as a sum of positive squares in 8 ways, for example, as 6724 + 1083002281 = 82^2 + 32909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1083009005 is a prime.

It is a super-2 number, since 2×1083009005² = 2345817009822180050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140081 + ... + 147609.

It is an arithmetic number, because the mean of its divisors is an integer number (87524955).

Almost surely, 2^1083009005 is an apocalyptic number.

It is an amenable number.

1083009005 is a deficient number, since it is larger than the sum of its proper divisors (317390275).

1083009005 is a wasteful number, since it uses less digits than its factorization.

1083009005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1083009005 is about 32909.1021603446. The cubic root of 1083009005 is about 1026.9375226476.

The spelling of 1083009005 in words is "one billion, eighty-three million, nine thousand, five".