580305006 has 16 divisors (see below), whose sum is σ = 1289566800. Its totient is φ = 193434984.

The previous prime is 580305001. The next prime is 580305031. The reversal of 580305006 is 600503085.

580305006 is a `hidden beast` number, since 580 + 30 + 50 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580305001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5373141 + ... + 5373248.

It is an arithmetic number, because the mean of its divisors is an integer number (80597925).

Almost surely, 2^580305006 is an apocalyptic number.

580305006 is an abundant number, since it is smaller than the sum of its proper divisors (709261794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580305006 is a wasteful number, since it uses less digits than its factorization.

580305006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746400 (or 10746394 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 580305006 is about 24089.5206677094. The cubic root of 580305006 is about 834.1012505819.

It can be divided in two parts, 58030 and 5006, that added together give a palindrome (63036).

The spelling of 580305006 in words is "five hundred eighty million, three hundred five thousand, six".