580152500 has 60 divisors (see below), whose sum is σ = 1280918100. Its totient is φ = 229824000.

The previous prime is 580152497. The next prime is 580152527. The reversal of 580152500 is 5251085.

It can be written as a sum of positive squares in 10 ways, for example, as 459416356 + 120736144 = 21434^2 + 10988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 580152500.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 271436 + ... + 273564.

It is an arithmetic number, because the mean of its divisors is an integer number (21348635).

Almost surely, 2^580152500 is an apocalyptic number.

580152500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640459050).

580152500 is an abundant number, since it is smaller than the sum of its proper divisors (700765600).

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

580152500 is a wasteful number, since it uses less digits than its factorization.

580152500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 580152500 is about 24086.3550584143. The cubic root of 580152500 is about 834.0281760269.

The spelling of 580152500 in words is "five hundred eighty million, one hundred fifty-two thousand, five hundred".