56305813838401 has 4 divisors (see below), whose sum is σ = 56338993459332. Its totient is φ = 56272634217472.

The previous prime is 56305813838383. The next prime is 56305813838413. The reversal of 56305813838401 is 10483831850365.

It is a Cunningham number, because it is equal to 7503720²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 54202342226176 + 2103471612225 = 7362224^2 + 1450335^2 .

It is a cyclic number.

It is not a de Polignac number, because 56305813838401 - 2⁴¹ = 54106790582849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56305813838441) 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 3 ways as a sum of consecutive naturals, for example, 16589807920 + ... + 16589811313.

It is an arithmetic number, because the mean of its divisors is an integer number (14084748364833).

Almost surely, 2^{56305813838401} is an apocalyptic number.

It is an amenable number.

56305813838401 is a deficient number, since it is larger than the sum of its proper divisors (33179620931).

56305813838401 is a wasteful number, since it uses less digits than its factorization.

56305813838401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33179620930.

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 56305813838401 in words is "fifty-six trillion, three hundred five billion, eight hundred thirteen million, eight hundred thirty-eight thousand, four hundred one".