1079830644201 has 27 divisors (see below), whose sum is σ = 1619789934711. Its totient is φ = 719830982088.

The previous prime is 1079830644157. The next prime is 1079830644283. The reversal of 1079830644201 is 1024460389701.

The square root of 1079830644201 is 1039149.

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

1079830644201 is a `hidden beast` number, since 10 + 7 + 98 + 306 + 44 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 848334944601 + 231495699600 = 921051^2 + 481140^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1079830644201 - 2¹¹ = 1079830642153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1079830644401) 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 26 ways as a sum of consecutive naturals, for example, 84164655 + ... + 84177483.

Almost surely, 2^{1079830644201} is an apocalyptic number.

1079830644201 is the 1039149-th square number.

1079830644201 is the 519575-th centered octagonal number.

It is an amenable number.

1079830644201 is a deficient number, since it is larger than the sum of its proper divisors (539959290510).

1079830644201 is an frugal number, since it uses more digits than its factorization.

1079830644201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25682 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1079830644201 in words is "one trillion, seventy-nine billion, eight hundred thirty million, six hundred forty-four thousand, two hundred one".