1005673995981 has 24 divisors (see below), whose sum is σ = 1516619744640. Its totient is φ = 640951904736.

The previous prime is 1005673995979. The next prime is 1005673995983. The reversal of 1005673995981 is 1895993765001.

1005673995981 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 7 + 39 + 9 + 598 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1005673995979) and next prime (1005673995983).

It is not a de Polignac number, because 1005673995981 - 2¹ = 1005673995979 is a prime.

It is a super-3 number, since 3×1005673995981³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005673995983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932866 + ... + 1697523.

It is an arithmetic number, because the mean of its divisors is an integer number (63192489360).

Almost surely, 2^{1005673995981} is an apocalyptic number.

It is an amenable number.

1005673995981 is a deficient number, since it is larger than the sum of its proper divisors (510945748659).

1005673995981 is a wasteful number, since it uses less digits than its factorization.

1005673995981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632265 (or 2632262 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 1005673995981 in words is "one trillion, five billion, six hundred seventy-three million, nine hundred ninety-five thousand, nine hundred eighty-one".