58035737098161 has 27 divisors (see below), whose sum is σ = 84609162591681. Its totient is φ = 38333887248384.

The previous prime is 58035737098151. The next prime is 58035737098177. The reversal of 58035737098161 is 16189073753085.

The square root of 58035737098161 is 7618119.

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

58035737098161 is a `hidden beast` number, since 5 + 8 + 0 + 357 + 37 + 0 + 98 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3754855685025 + 54280881413136 = 1937745^2 + 7367556^2 .

It is not a de Polignac number, because 58035737098161 - 2¹⁹ = 58035736573873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58035737098151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2491113265 + ... + 2491136561.

Almost surely, 2^{58035737098161} is an apocalyptic number.

58035737098161 is the 7618119-th square number.

58035737098161 is the 3809060-th centered octagonal number.

It is an amenable number.

58035737098161 is a deficient number, since it is larger than the sum of its proper divisors (26573425493520).

58035737098161 is an frugal number, since it uses more digits than its factorization.

58035737098161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46818 (or 23409 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 58035737098161 in words is "fifty-eight trillion, thirty-five billion, seven hundred thirty-seven million, ninety-eight thousand, one hundred sixty-one".