193409087089 has 9 divisors (see below), whose sum is σ = 202194364939. Its totient is φ = 184990321120.

The previous prime is 193409087083. The next prime is 193409087119. The reversal of 193409087089 is 980780904391.

It is a happy number.

The square root of 193409087089 is 439783.

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

It can be written as a sum of positive squares in only one way, i.e., 168948127089 + 24460960000 = 411033^2 + 156400^2 .

It is not a de Polignac number, because 193409087089 - 2¹¹ = 193409085041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193409087083) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10105449 + ... + 10124569.

Almost surely, 2^193409087089 is an apocalyptic number.

193409087089 is the 439783-rd square number.

193409087089 is the 219892-nd centered octagonal number.

It is an amenable number.

193409087089 is a deficient number, since it is larger than the sum of its proper divisors (8785277850).

193409087089 is an frugal number, since it uses more digits than its factorization.

193409087089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38288 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 193409087089 in words is "one hundred ninety-three billion, four hundred nine million, eighty-seven thousand, eighty-nine".