58430975625 has 135 divisors (see below), whose sum is σ = 116323113907. Its totient is φ = 28233480000.

The previous prime is 58430975597. The next prime is 58430975639. The reversal of 58430975625 is 52657903485.

The square root of 58430975625 is 241725.

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

58430975625 is a `hidden beast` number, since 5 + 8 + 4 + 3 + 0 + 9 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 14325935481 + 44105040144 = 119691^2 + 210012^2 .

It is not a de Polignac number, because 58430975625 - 2⁵ = 58430975593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 199422979 + ... + 199423271.

Almost surely, 2^58430975625 is an apocalyptic number.

58430975625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58430975625 is the 241725-th square number.

58430975625 is the 120863-rd centered octagonal number.

It is an amenable number.

58430975625 is a deficient number, since it is larger than the sum of its proper divisors (57892138282).

58430975625 is an equidigital number, since it uses as much as digits as its factorization.

58430975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 58430975625 in words is "fifty-eight billion, four hundred thirty million, nine hundred seventy-five thousand, six hundred twenty-five".