58384193312025 has 405 divisors, whose sum is σ = 127470228412527. Its totient is φ = 26341122628800.

The previous prime is 58384193311979. The next prime is 58384193312051. The reversal of 58384193312025 is 52021339148385.

The square root of 58384193312025 is 7640955.

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

58384193312025 is a `hidden beast` number, since 5 + 8 + 384 + 193 + 31 + 20 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21018309592329 + 37365883719696 = 4584573^2 + 6112764^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 58384193312025 - 2⁷ = 58384193311897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 305676404680 + ... + 305676404870.

Almost surely, 2^{58384193312025} is an apocalyptic number.

58384193312025 is the 7640955-th square number.

58384193312025 is the 3820478-th centered octagonal number.

It is an amenable number.

58384193312025 is an abundant number, since it is smaller than the sum of its proper divisors (69086035100502).

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

58384193312025 is an equidigital number, since it uses as much as digits as its factorization.

58384193312025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 58384193312025 in words is "fifty-eight trillion, three hundred eighty-four billion, one hundred ninety-three million, three hundred twelve thousand, twenty-five".