193431009097 has 2 divisors, whose sum is σ = 193431009098. Its totient is φ = 193431009096.

The previous prime is 193431009073. The next prime is 193431009103. The reversal of 193431009097 is 790900134391.

193431009097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174637066816 + 18793942281 = 417896^2 + 137091^2 .

It is a cyclic number.

It is not a de Polignac number, because 193431009097 - 2¹⁵ = 193430976329 is a prime.

It is not a weakly prime, because it can be changed into another prime (193431009047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96715504548 + 96715504549.

It is an arithmetic number, because the mean of its divisors is an integer number (96715504549).

Almost surely, 2^193431009097 is an apocalyptic number.

It is an amenable number.

193431009097 is a deficient number, since it is larger than the sum of its proper divisors (1).

193431009097 is an equidigital number, since it uses as much as digits as its factorization.

193431009097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 46.

The spelling of 193431009097 in words is "one hundred ninety-three billion, four hundred thirty-one million, nine thousand, ninety-seven".