193317623041 has 27 divisors (see below), whose sum is σ = 207515544201. Its totient is φ = 180064378944.

The previous prime is 193317623029. The next prime is 193317623069. The reversal of 193317623041 is 140326713391.

The square root of 193317623041 is 439679.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41014755441 + 152302867600 = 202521^2 + 390260^2 .

It is not a de Polignac number, because 193317623041 - 2¹³ = 193317614849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 193317622985 and 193317623003.

It is not an unprimeable number, because it can be changed into a prime (193317623141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 609834615 + ... + 609834931.

Almost surely, 2^193317623041 is an apocalyptic number.

193317623041 is the 439679-th square number.

193317623041 is the 219840-th centered octagonal number.

It is an amenable number.

193317623041 is a deficient number, since it is larger than the sum of its proper divisors (14197921160).

193317623041 is an frugal number, since it uses more digits than its factorization.

193317623041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 193317623041 in words is "one hundred ninety-three billion, three hundred seventeen million, six hundred twenty-three thousand, forty-one".