58500613161 has 27 divisors (see below), whose sum is σ = 86886292311. Its totient is φ = 37928929104.

The previous prime is 58500613153. The next prime is 58500613187. The reversal of 58500613161 is 16131600585.

The square root of 58500613161 is 241869.

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

58500613161 is a `hidden beast` number, since 5 + 8 + 500 + 61 + 31 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52347152025 + 6153461136 = 228795^2 + 78444^2 .

It is not a de Polignac number, because 58500613161 - 2³ = 58500613153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58500613151) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 26846370 + ... + 26848548.

Almost surely, 2^58500613161 is an apocalyptic number.

58500613161 is the 241869-th square number.

58500613161 is the 120935-th centered octagonal number.

It is an amenable number.

58500613161 is a deficient number, since it is larger than the sum of its proper divisors (28385679150).

58500613161 is an frugal number, since it uses more digits than its factorization.

58500613161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 58500613161 by its sum of digits (36), we get a square (2106022073796 = 1451214²).

The spelling of 58500613161 in words is "fifty-eight billion, five hundred million, six hundred thirteen thousand, one hundred sixty-one".