505406314313 has 4 divisors (see below), whose sum is σ = 505715055300. Its totient is φ = 505097573328.

The previous prime is 505406314307. The next prime is 505406314319. The reversal of 505406314313 is 313413604505.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313413604505 = 5 ⋅62682720901.

It is an interprime number because it is at equal distance from previous prime (505406314307) and next prime (505406314319).

It can be written as a sum of positive squares in 2 ways, for example, as 32058186304 + 473348128009 = 179048^2 + 688003^2 .

It is a cyclic number.

It is not a de Polignac number, because 505406314313 - 2⁴ = 505406314297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505406314319) 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, 154368038 + ... + 154371311.

It is an arithmetic number, because the mean of its divisors is an integer number (126428763825).

Almost surely, 2^505406314313 is an apocalyptic number.

It is an amenable number.

505406314313 is a deficient number, since it is larger than the sum of its proper divisors (308740987).

505406314313 is a wasteful number, since it uses less digits than its factorization.

505406314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308740986.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 505406314313 its reverse (313413604505), we get a palindrome (818819918818).

The spelling of 505406314313 in words is "five hundred five billion, four hundred six million, three hundred fourteen thousand, three hundred thirteen".