9505688812201 has 2 divisors, whose sum is σ = 9505688812202. Its totient is φ = 9505688812200.

The previous prime is 9505688812177. The next prime is 9505688812219. The reversal of 9505688812201 is 1022188865059.

9505688812201 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., 9488254250601 + 17434561600 = 3080301^2 + 132040^2 .

It is a cyclic number.

It is not a de Polignac number, because 9505688812201 - 2¹³ = 9505688804009 is a prime.

It is not a weakly prime, because it can be changed into another prime (9505688812261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4752844406100 + 4752844406101.

It is an arithmetic number, because the mean of its divisors is an integer number (4752844406101).

Almost surely, 2^{9505688812201} is an apocalyptic number.

It is an amenable number.

9505688812201 is a deficient number, since it is larger than the sum of its proper divisors (1).

9505688812201 is an equidigital number, since it uses as much as digits as its factorization.

9505688812201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2764800, while the sum is 55.

The spelling of 9505688812201 in words is "nine trillion, five hundred five billion, six hundred eighty-eight million, eight hundred twelve thousand, two hundred one".