1085005815 has 16 divisors (see below), whose sum is σ = 1745712000. Its totient is φ = 575435552.

The previous prime is 1085005813. The next prime is 1085005861. The reversal of 1085005815 is 5185005801.

It is a cyclic number.

It is not a de Polignac number, because 1085005815 - 2¹ = 1085005813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085005813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199365 + ... + 204734.

It is an arithmetic number, because the mean of its divisors is an integer number (109107000).

Almost surely, 2^1085005815 is an apocalyptic number.

1085005815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1085005815 is a deficient number, since it is larger than the sum of its proper divisors (660706185).

1085005815 is a wasteful number, since it uses less digits than its factorization.

1085005815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404286.

The product of its (nonzero) digits is 8000, while the sum is 33.

The square root of 1085005815 is about 32939.4264522016. The cubic root of 1085005815 is about 1027.5682776776.

The spelling of 1085005815 in words is "one billion, eighty-five million, five thousand, eight hundred fifteen".