580821252 has 192 divisors, whose sum is σ = 1646023680. Its totient is φ = 157388800.

The previous prime is 580821247. The next prime is 580821271. The reversal of 580821252 is 252128085.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5428183 + ... + 5428289.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2^580821252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580821252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823011840).

580821252 is an abundant number, since it is smaller than the sum of its proper divisors (1065202428).

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

580821252 is a wasteful number, since it uses less digits than its factorization.

580821252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 580821252 is about 24100.2334428528. The cubic root of 580821252 is about 834.3485192903.

The spelling of 580821252 in words is "five hundred eighty million, eight hundred twenty-one thousand, two hundred fifty-two".