580535801041 has 27 divisors (see below), whose sum is σ = 683549157531. Its totient is φ = 491608781664.

The previous prime is 580535801011. The next prime is 580535801051. The reversal of 580535801041 is 140108535085.

It is a happy number.

The square root of 580535801041 is 761929.

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., 111475186641 + 469060614400 = 333879^2 + 684880^2 .

It is not a de Polignac number, because 580535801041 - 2²³ = 580527412433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 580535800985 and 580535801003.

It is not an unprimeable number, because it can be changed into a prime (580535801011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474681156 + ... + 474682378.

Almost surely, 2^580535801041 is an apocalyptic number.

580535801041 is the 761929-th square number.

580535801041 is the 380965-th centered octagonal number.

It is an amenable number.

580535801041 is a deficient number, since it is larger than the sum of its proper divisors (103013356490).

580535801041 is an frugal number, since it uses more digits than its factorization.

580535801041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 580535801041 in words is "five hundred eighty billion, five hundred thirty-five million, eight hundred one thousand, forty-one".