305204042401 has 2 divisors, whose sum is σ = 305204042402. Its totient is φ = 305204042400.

The previous prime is 305204042393. The next prime is 305204042417. The reversal of 305204042401 is 104240402503.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222075620001 + 83128422400 = 471249^2 + 288320^2 .

It is a cyclic number.

It is not a de Polignac number, because 305204042401 - 2³ = 305204042393 is a prime.

It is a super-2 number, since 2×305204042401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (305204042441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152602021200 + 152602021201.

It is an arithmetic number, because the mean of its divisors is an integer number (152602021201).

Almost surely, 2^305204042401 is an apocalyptic number.

It is an amenable number.

305204042401 is a deficient number, since it is larger than the sum of its proper divisors (1).

305204042401 is an equidigital number, since it uses as much as digits as its factorization.

305204042401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 305204042401 its reverse (104240402503), we get a palindrome (409444444904).

The spelling of 305204042401 in words is "three hundred five billion, two hundred four million, forty-two thousand, four hundred one".