1159916805 has 18 divisors (see below), whose sum is σ = 2010918546. Its totient is φ = 618500448.

The previous prime is 1159916803. The next prime is 1159916861. The reversal of 1159916805 is 5086199511.

It can be written as a sum of positive squares in 3 ways, for example, as 754820676 + 405096129 = 27474^2 + 20127^2 .

It is not a de Polignac number, because 1159916805 - 2¹ = 1159916803 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159916803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225927 + ... + 231003.

It is an arithmetic number, because the mean of its divisors is an integer number (111717697).

Almost surely, 2^1159916805 is an apocalyptic number.

1159916805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1159916805 is a deficient number, since it is larger than the sum of its proper divisors (851001741).

1159916805 is an frugal number, since it uses more digits than its factorization.

1159916805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The square root of 1159916805 is about 34057.5513652993. The cubic root of 1159916805 is about 1050.6924548036.

Multiplying 1159916805 by its sum of digits (45), we get a square (52196256225 = 228465²).

1159916805 divided by its sum of digits (45) gives a square (25775929 = 5077²).

The spelling of 1159916805 in words is "one billion, one hundred fifty-nine million, nine hundred sixteen thousand, eight hundred five".