992535980121 has 27 divisors (see below), whose sum is σ = 1667765678943. Its totient is φ = 567151462080.

The previous prime is 992535979973. The next prime is 992535980167. The reversal of 992535980121 is 121089535299.

It is a happy number.

The square root of 992535980121 is 996261.

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

992535980121 is a `hidden beast` number, since 9 + 9 + 2 + 535 + 9 + 80 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380949418521 + 611586561600 = 617211^2 + 782040^2 .

It is not a de Polignac number, because 992535980121 - 2¹¹ = 992535978073 is a prime.

It is a super-3 number, since 3×992535980121³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (992535980521) 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 26 ways as a sum of consecutive naturals, for example, 20897761 + ... + 20945201.

Almost surely, 2^992535980121 is an apocalyptic number.

992535980121 is the 996261-st square number.

992535980121 is the 498131-st centered octagonal number.

It is an amenable number.

992535980121 is a deficient number, since it is larger than the sum of its proper divisors (675229698822).

992535980121 is an frugal number, since it uses more digits than its factorization.

992535980121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94902 (or 47451 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 992535980121 in words is "nine hundred ninety-two billion, five hundred thirty-five million, nine hundred eighty thousand, one hundred twenty-one".