505406314319 has 2 divisors, whose sum is σ = 505406314320. Its totient is φ = 505406314318.

The previous prime is 505406314307. The next prime is 505406314321. The reversal of 505406314319 is 913413604505.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505406314319 is a prime.

It is a super-2 number, since 2×505406314319² (a number of 24 digits) contains 22 as substring.

Together with 505406314321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505406314379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252703157159 + 252703157160.

It is an arithmetic number, because the mean of its divisors is an integer number (252703157160).

Almost surely, 2^505406314319 is an apocalyptic number.

505406314319 is a deficient number, since it is larger than the sum of its proper divisors (1).

505406314319 is an equidigital number, since it uses as much as digits as its factorization.

505406314319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 505406314319 in words is "five hundred five billion, four hundred six million, three hundred fourteen thousand, three hundred nineteen".