983213498961 has 6 divisors (see below), whose sum is σ = 1420197276290. Its totient is φ = 655475665968.

The previous prime is 983213498957. The next prime is 983213499001. The reversal of 983213498961 is 169894312389.

983213498961 is a `hidden beast` number, since 9 + 83 + 2 + 1 + 3 + 498 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 888014099025 + 95199399936 = 942345^2 + 308544^2 .

It is not a de Polignac number, because 983213498961 - 2² = 983213498957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983213498921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54622972156 + ... + 54622972173.

Almost surely, 2^983213498961 is an apocalyptic number.

It is an amenable number.

983213498961 is a deficient number, since it is larger than the sum of its proper divisors (436983777329).

983213498961 is a wasteful number, since it uses less digits than its factorization.

983213498961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109245944335 (or 109245944332 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 983213498961 in words is "nine hundred eighty-three billion, two hundred thirteen million, four hundred ninety-eight thousand, nine hundred sixty-one".