580936993 has 54 divisors (see below), whose sum is σ = 766490742. Its totient is φ = 438721920.

The previous prime is 580936957. The next prime is 580936999. The reversal of 580936993 is 399639085.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 753424 + 580183569 = 868^2 + 24087^2 .

It is not a de Polignac number, because 580936993 - 2²¹ = 578839841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 580936993.

It is not an unprimeable number, because it can be changed into a prime (580936999) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7958005 + ... + 7958077.

It is an arithmetic number, because the mean of its divisors is an integer number (14194273).

Almost surely, 2^580936993 is an apocalyptic number.

It is an amenable number.

580936993 is a deficient number, since it is larger than the sum of its proper divisors (185553749).

580936993 is a wasteful number, since it uses less digits than its factorization.

580936993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The square root of 580936993 is about 24102.6345655408. The cubic root of 580936993 is about 834.4039361780.

The spelling of 580936993 in words is "five hundred eighty million, nine hundred thirty-six thousand, nine hundred ninety-three".