580377330625 has 45 divisors (see below), whose sum is σ = 750152131509. Its totient is φ = 448867290000.

The previous prime is 580377330509. The next prime is 580377330653. The reversal of 580377330625 is 526033773085.

The square root of 580377330625 is 761825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 45501582721 + 534875747904 = 213311^2 + 731352^2 .

It is not a de Polignac number, because 580377330625 - 2²⁹ = 579840459713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 590413884 + ... + 590414866.

Almost surely, 2^580377330625 is an apocalyptic number.

580377330625 is the 761825-th square number.

580377330625 is the 380913-rd centered octagonal number.

It is an amenable number.

580377330625 is a deficient number, since it is larger than the sum of its proper divisors (169774800884).

580377330625 is an frugal number, since it uses more digits than its factorization.

580377330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

Multiplying 580377330625 by its sum of digits (49), we get a square (28438489200625 = 5332775²).

The spelling of 580377330625 in words is "five hundred eighty billion, three hundred seventy-seven million, three hundred thirty thousand, six hundred twenty-five".