1306642161 has 64 divisors (see below), whose sum is σ = 2049417216. Its totient is φ = 733017600.

The previous prime is 1306642147. The next prime is 1306642177. The reversal of 1306642161 is 1612466031.

It is not a de Polignac number, because 1306642161 - 2¹¹ = 1306640113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1306640161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2152320 + ... + 2152926.

It is an arithmetic number, because the mean of its divisors is an integer number (32022144).

Almost surely, 2^1306642161 is an apocalyptic number.

1306642161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1306642161 is a deficient number, since it is larger than the sum of its proper divisors (742775055).

1306642161 is a wasteful number, since it uses less digits than its factorization.

1306642161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1306642161 is about 36147.5055985887. The cubic root of 1306642161 is about 1093.2484973978.

The spelling of 1306642161 in words is "one billion, three hundred six million, six hundred forty-two thousand, one hundred sixty-one".