961131219129 has 81 divisors (see below), whose sum is σ = 1510508040717. Its totient is φ = 588788494848.

The previous prime is 961131219121. The next prime is 961131219193. The reversal of 961131219129 is 921912131169.

It is a happy number.

The square root of 961131219129 is 980373.

It is a perfect power (a square), and thus also a powerful number.

961131219129 is a `hidden beast` number, since 9 + 611 + 3 + 1 + 2 + 1 + 9 + 1 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478317476025 + 482813743104 = 691605^2 + 694848^2 .

It is not a de Polignac number, because 961131219129 - 2³ = 961131219121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (961131219121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2349953877 + ... + 2349954285.

Almost surely, 2^961131219129 is an apocalyptic number.

961131219129 is the 980373-rd square number.

961131219129 is the 490187-th centered octagonal number.

It is an amenable number.

961131219129 is a deficient number, since it is larger than the sum of its proper divisors (549376821588).

961131219129 is an equidigital number, since it uses as much as digits as its factorization.

961131219129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its digits is 52488, while the sum is 45.

The spelling of 961131219129 in words is "nine hundred sixty-one billion, one hundred thirty-one million, two hundred nineteen thousand, one hundred twenty-nine".