1082306585205 has 96 divisors (see below), whose sum is σ = 1926603439488. Its totient is φ = 561867840000.

The previous prime is 1082306585201. The next prime is 1082306585207. The reversal of 1082306585205 is 5025856032801.

1082306585205 is a `hidden beast` number, since 10 + 8 + 2 + 30 + 6 + 585 + 20 + 5 = 666.

It is not a de Polignac number, because 1082306585205 - 2² = 1082306585201 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082306585201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480810330 + ... + 480812580.

It is an arithmetic number, because the mean of its divisors is an integer number (20068785828).

Almost surely, 2^{1082306585205} is an apocalyptic number.

1082306585205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1082306585205 is a deficient number, since it is larger than the sum of its proper divisors (844296854283).

1082306585205 is a wasteful number, since it uses less digits than its factorization.

1082306585205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1082306585205 in words is "one trillion, eighty-two billion, three hundred six million, five hundred eighty-five thousand, two hundred five".