1079834800801 has 9 divisors (see below), whose sum is σ = 1115825126259. Its totient is φ = 1044970245600.

The previous prime is 1079834800787. The next prime is 1079834800861. The reversal of 1079834800801 is 1080084389701.

The square root of 1079834800801 is 1039151.

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

It can be written as a sum of positive squares in only one way, i.e., 300357706401 + 779477094400 = 548049^2 + 882880^2 .

It is not a de Polignac number, because 1079834800801 - 2¹¹ = 1079834798753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1079834800861) 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 8 ways as a sum of consecutive naturals, for example, 32196921 + ... + 32230441.

Almost surely, 2^{1079834800801} is an apocalyptic number.

1079834800801 is the 1039151-st square number.

1079834800801 is the 519576-th centered octagonal number.

It is an amenable number.

1079834800801 is a deficient number, since it is larger than the sum of its proper divisors (35990325458).

1079834800801 is an frugal number, since it uses more digits than its factorization.

1079834800801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67104 (or 33552 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

Multiplying 1079834800801 by its sum of digits (49), we get a square (52911905239249 = 7274057²).

The spelling of 1079834800801 in words is "one trillion, seventy-nine billion, eight hundred thirty-four million, eight hundred thousand, eight hundred one".