305305404406201 has 2 divisors, whose sum is σ = 305305404406202. Its totient is φ = 305305404406200.

The previous prime is 305305404406151. The next prime is 305305404406231. The reversal of 305305404406201 is 102604404503503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296144346234025 + 9161058172176 = 17208845^2 + 3026724^2 .

It is a cyclic number.

It is not a de Polignac number, because 305305404406201 - 2⁹ = 305305404405689 is a prime.

It is a super-2 number, since 2×305305404406201² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (305305404406231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152652702203100 + 152652702203101.

It is an arithmetic number, because the mean of its divisors is an integer number (152652702203101).

Almost surely, 2^{305305404406201} is an apocalyptic number.

It is an amenable number.

305305404406201 is a deficient number, since it is larger than the sum of its proper divisors (1).

305305404406201 is an equidigital number, since it uses as much as digits as its factorization.

305305404406201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 305305404406201 its reverse (102604404503503), we get a palindrome (407909808909704).

The spelling of 305305404406201 in words is "three hundred five trillion, three hundred five billion, four hundred four million, four hundred six thousand, two hundred one".