1016611605 has 48 divisors (see below), whose sum is σ = 1814917104. Its totient is φ = 526095360.

The previous prime is 1016611597. The next prime is 1016611643. The reversal of 1016611605 is 5061166101.

It can be written as a sum of positive squares in 8 ways, for example, as 8803089 + 1007808516 = 2967^2 + 31746^2 .

It is not a de Polignac number, because 1016611605 - 2³ = 1016611597 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 362067 + ... + 364863.

It is an arithmetic number, because the mean of its divisors is an integer number (37810773).

Almost surely, 2^1016611605 is an apocalyptic number.

1016611605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016611605 is a deficient number, since it is larger than the sum of its proper divisors (798305499).

1016611605 is a wasteful number, since it uses less digits than its factorization.

1016611605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1016611605 is about 31884.3473353305. The cubic root of 1016611605 is about 1005.5068209250.

Adding to 1016611605 its reverse (5061166101), we get a palindrome (6077777706).

The spelling of 1016611605 in words is "one billion, sixteen million, six hundred eleven thousand, six hundred five".