1611881161 has 32 divisors (see below), whose sum is σ = 1857945600. Its totient is φ = 1384918080.

The previous prime is 1611881149. The next prime is 1611881213.

1611881161 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1611881161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1611881261) 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 31 ways as a sum of consecutive naturals, for example, 4208376 + ... + 4208758.

It is an arithmetic number, because the mean of its divisors is an integer number (58060800).

Almost surely, 2^1611881161 is an apocalyptic number.

1611881161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1611881161 is a deficient number, since it is larger than the sum of its proper divisors (246064439).

1611881161 is a wasteful number, since it uses less digits than its factorization.

1611881161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its digits is 2304, while the sum is 34.

The square root of 1611881161 is about 40148.2398244307. The cubic root of 1611881161 is about 1172.4950191868.

It can be divided in two parts, 16118 and 81161, that added together give a palindrome (97279).

The spelling of 1611881161 in words is "one billion, six hundred eleven million, eight hundred eighty-one thousand, one hundred sixty-one".