580125312 has 96 divisors (see below), whose sum is σ = 1797830580. Its totient is φ = 178495488.

The previous prime is 580125307. The next prime is 580125317. The reversal of 580125312 is 213521085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (580125307) and next prime (580125317).

It can be written as a sum of positive squares in 2 ways, for example, as 478034496 + 102090816 = 21864^2 + 10104^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580125317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4393 + ... + 34344.

Almost surely, 2^580125312 is an apocalyptic number.

580125312 is a gapful number since it is divisible by the number (52) 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 580125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898915290).

580125312 is an abundant number, since it is smaller than the sum of its proper divisors (1217705268).

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

580125312 is a wasteful number, since it uses less digits than its factorization.

580125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38770 (or 38755 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 580125312 is about 24085.7906658677. The cubic root of 580125312 is about 834.0151473190.

Adding to 580125312 its reverse (213521085), we get a palindrome (793646397).

It can be divided in two parts, 5801 and 25312, that added together give a palindrome (31113).

The spelling of 580125312 in words is "five hundred eighty million, one hundred twenty-five thousand, three hundred twelve".