1631131161 has 32 divisors (see below), whose sum is σ = 2401920000. Its totient is φ = 976409280.

The previous prime is 1631131153. The next prime is 1631131163. The reversal of 1631131161 is 1611311361.

It is not a de Polignac number, because 1631131161 - 2³ = 1631131153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1631131163) 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, 977650 + ... + 979316.

It is an arithmetic number, because the mean of its divisors is an integer number (75060000).

Almost surely, 2^1631131161 is an apocalyptic number.

1631131161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1631131161 is a deficient number, since it is larger than the sum of its proper divisors (770788839).

1631131161 is a wasteful number, since it uses less digits than its factorization.

1631131161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029.

The product of its digits is 324, while the sum is 24.

The square root of 1631131161 is about 40387.2648368270. The cubic root of 1631131161 is about 1177.1440944551.

The spelling of 1631131161 in words is "one billion, six hundred thirty-one million, one hundred thirty-one thousand, one hundred sixty-one".