1328106585 has 16 divisors (see below), whose sum is σ = 2288430144. Its totient is φ = 653836992.

The previous prime is 1328106539. The next prime is 1328106607. The reversal of 1328106585 is 5856018231.

It is not a de Polignac number, because 1328106585 - 2¹⁰ = 1328105561 is a prime.

It is a super-2 number, since 2×1328106585² = 3527734202240724450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 3405207 + ... + 3405596.

It is an arithmetic number, because the mean of its divisors is an integer number (143026884).

Almost surely, 2^1328106585 is an apocalyptic number.

1328106585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328106585 is a deficient number, since it is larger than the sum of its proper divisors (960323559).

1328106585 is a wasteful number, since it uses less digits than its factorization.

1328106585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810824.

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 1328106585 is about 36443.1966901917. The cubic root of 1328106585 is about 1099.2023376949.

The spelling of 1328106585 in words is "one billion, three hundred twenty-eight million, one hundred six thousand, five hundred eighty-five".