980791141801 has 3 divisors (see below), whose sum is σ = 980792132151. Its totient is φ = 980790151452.

The previous prime is 980791141723. The next prime is 980791141817. The reversal of 980791141801 is 108141197089.

The square root of 980791141801 is 990349.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 979508069401 + 1283072400 = 989701^2 + 35820^2 .

It is not a de Polignac number, because 980791141801 - 2⁹ = 980791141289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (980791141831) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 495175 + ... + 1485523.

It is an arithmetic number, because the mean of its divisors is an integer number (326930710717).

Almost surely, 2^980791141801 is an apocalyptic number.

980791141801 is the 990349-th square number.

980791141801 is the 495175-th centered octagonal number.

It is an amenable number.

980791141801 is a deficient number, since it is larger than the sum of its proper divisors (990350).

980791141801 is an frugal number, since it uses more digits than its factorization.

980791141801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980698 (or 990349 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 49.

Multiplying 980791141801 by its sum of digits (49), we get a square (48058765948249 = 6932443²).

The spelling of 980791141801 in words is "nine hundred eighty billion, seven hundred ninety-one million, one hundred forty-one thousand, eight hundred one".