1082133521961 has 16 divisors (see below), whose sum is σ = 1446439949568. Its totient is φ = 719625296000.

The previous prime is 1082133521941. The next prime is 1082133522059. The reversal of 1082133521961 is 1691253312801.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1082133521961 - 2⁶ = 1082133521897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1082133521921) 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 15 ways as a sum of consecutive naturals, for example, 7820005 + ... + 7957181.

It is an arithmetic number, because the mean of its divisors is an integer number (90402496848).

Almost surely, 2^{1082133521961} is an apocalyptic number.

It is an amenable number.

1082133521961 is a deficient number, since it is larger than the sum of its proper divisors (364306427607).

1082133521961 is a wasteful number, since it uses less digits than its factorization.

1082133521961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143712.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 1082133521961 in words is "one trillion, eighty-two billion, one hundred thirty-three million, five hundred twenty-one thousand, nine hundred sixty-one".