193057420689 has 81 divisors (see below), whose sum is σ = 330758331579. Its totient is φ = 108510025680.

The previous prime is 193057420681. The next prime is 193057420691. The reversal of 193057420689 is 986024750391.

The square root of 193057420689 is 439383.

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

193057420689 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 574 + 2 + 0 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6277868289 + 186779552400 = 79233^2 + 432180^2 .

It is not a de Polignac number, because 193057420689 - 2³ = 193057420681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193057420681) 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, 3164875719 + ... + 3164875779.

It is a 1-persistent number, because it is pandigital, but 2⋅193057420689 = 386114841378 is not.

Almost surely, 2^193057420689 is an apocalyptic number.

193057420689 is the 439383-rd square number.

193057420689 is the 219692-nd centered octagonal number.

It is an amenable number.

193057420689 is a deficient number, since it is larger than the sum of its proper divisors (137700910890).

193057420689 is an frugal number, since it uses more digits than its factorization.

193057420689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 193057420689 in words is "one hundred ninety-three billion, fifty-seven million, four hundred twenty thousand, six hundred eighty-nine".