305313304401 has 128 divisors (see below), whose sum is σ = 553244590080. Its totient is φ = 162723686400.

The previous prime is 305313304381. The next prime is 305313304403. The reversal of 305313304401 is 104403313503.

305313304401 is a `hidden beast` number, since 3 + 0 + 5 + 313 + 304 + 40 + 1 = 666.

It is not a de Polignac number, because 305313304401 - 2¹⁴ = 305313288017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (305313304403) 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 in 127 ways as a sum of consecutive naturals, for example, 19930521 + ... + 19945833.

It is an arithmetic number, because the mean of its divisors is an integer number (4322223360).

Almost surely, 2^305313304401 is an apocalyptic number.

305313304401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

305313304401 is a deficient number, since it is larger than the sum of its proper divisors (247931285679).

305313304401 is a wasteful number, since it uses less digits than its factorization.

305313304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15484 (or 15478 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 305313304401 its reverse (104403313503), we get a palindrome (409716617904).

The spelling of 305313304401 in words is "three hundred five billion, three hundred thirteen million, three hundred four thousand, four hundred one".