1029961853973 has 24 divisors (see below), whose sum is σ = 1606917138008. Its totient is φ = 631941875712.

The previous prime is 1029961853959. The next prime is 1029961854023. The reversal of 1029961853973 is 3793581699201.

1029961853973 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 9 + 618 + 5 + 3 + 9 + 7 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50610151089 + 979351702884 = 224967^2 + 989622^2 .

It is not a de Polignac number, because 1029961853973 - 2⁶ = 1029961853909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1029961853973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029961853873) 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, 13021540 + ... + 13100397.

Almost surely, 2^{1029961853973} is an apocalyptic number.

1029961853973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1029961853973 is a deficient number, since it is larger than the sum of its proper divisors (576955284035).

1029961853973 is a wasteful number, since it uses less digits than its factorization.

1029961853973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122293 (or 26122290 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1029961853973 in words is "one trillion, twenty-nine billion, nine hundred sixty-one million, eight hundred fifty-three thousand, nine hundred seventy-three".