58189500625 has 15 divisors (see below), whose sum is σ = 72721136631. Its totient is φ = 46546776000.

The previous prime is 58189500571. The next prime is 58189500637. The reversal of 58189500625 is 52600598185.

The square root of 58189500625 is 241225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 58050637969 + 138862656 = 240937^2 + 11784^2 .

It is not a de Polignac number, because 58189500625 - 2⁷ = 58189500497 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 14 ways as a sum of consecutive naturals, for example, 6025801 + ... + 6035449.

Almost surely, 2^58189500625 is an apocalyptic number.

58189500625 is the 241225-th square number.

58189500625 is the 120613-rd centered octagonal number.

It is an amenable number.

58189500625 is a deficient number, since it is larger than the sum of its proper divisors (14531636006).

58189500625 is an frugal number, since it uses more digits than its factorization.

58189500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 49.

Multiplying 58189500625 by its sum of digits (49), we get a square (2851285530625 = 1688575²).

The spelling of 58189500625 in words is "fifty-eight billion, one hundred eighty-nine million, five hundred thousand, six hundred twenty-five".