1005089985 has 32 divisors (see below), whose sum is σ = 1816133760. Its totient is φ = 527256000.

The previous prime is 1005089959. The next prime is 1005090019. The reversal of 1005089985 is 5899805001.

It is not a de Polignac number, because 1005089985 - 2¹² = 1005085889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005089985.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52791 + ... + 69260.

It is an arithmetic number, because the mean of its divisors is an integer number (56754180).

Almost surely, 2^1005089985 is an apocalyptic number.

1005089985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005089985 is a deficient number, since it is larger than the sum of its proper divisors (811043775).

1005089985 is a wasteful number, since it uses less digits than its factorization.

1005089985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122126 (or 122120 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 1005089985 is about 31703.1541806174. The cubic root of 1005089985 is about 1001.6937911185.

The spelling of 1005089985 in words is "one billion, five million, eighty-nine thousand, nine hundred eighty-five".