580252925952 has 612 divisors, whose sum is σ = 2066401947636. Its totient is φ = 155902279680.

The previous prime is 580252925927. The next prime is 580252925953. The reversal of 580252925952 is 259529252085.

580252925952 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 529 + 25 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 495976513536 + 84276412416 = 704256^2 + 290304^2 .

It is a tau number, because it is divible by the number of its divisors (612).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580252925953) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 491322802 + ... + 491323982.

Almost surely, 2^580252925952 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 580252925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033200973818).

580252925952 is an abundant number, since it is smaller than the sum of its proper divisors (1486149021684).

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

580252925952 is a wasteful number, since it uses less digits than its factorization.

580252925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 580252925952 in words is "five hundred eighty billion, two hundred fifty-two million, nine hundred twenty-five thousand, nine hundred fifty-two".