58255163105049 has 81 divisors (see below), whose sum is σ = 90280640374743. Its totient is φ = 36190539431424.

The previous prime is 58255163104951. The next prime is 58255163105077. The reversal of 58255163105049 is 94050136155285.

The square root of 58255163105049 is 7632507.

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

58255163105049 is a `hidden beast` number, since 5 + 8 + 2 + 5 + 516 + 31 + 0 + 50 + 49 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8417210945049 + 49837952160000 = 2901243^2 + 7059600^2 .

It is not a de Polignac number, because 58255163105049 - 2⁷ = 58255163104921 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58255163104986 and 58255163105004.

It is not an unprimeable number, because it can be changed into a prime (58255163105089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42429105727 + ... + 42429107099.

Almost surely, 2^{58255163105049} is an apocalyptic number.

58255163105049 is the 7632507-th square number.

58255163105049 is the 3816254-th centered octagonal number.

It is an amenable number.

58255163105049 is a deficient number, since it is larger than the sum of its proper divisors (32025477269694).

58255163105049 is an equidigital number, since it uses as much as digits as its factorization.

58255163105049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 1502 counting only the distinct ones).

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

The spelling of 58255163105049 in words is "fifty-eight trillion, two hundred fifty-five billion, one hundred sixty-three million, one hundred five thousand, forty-nine".