506432209078007 has 2 divisors, whose sum is σ = 506432209078008. Its totient is φ = 506432209078006.

The previous prime is 506432209077979. The next prime is 506432209078009. The reversal of 506432209078007 is 700870902234605.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 506432209078007 - 2³⁶ = 506363489601271 is a prime.

It is a super-2 number, since 2×506432209078007² (a number of 30 digits) contains 22 as substring.

Together with 506432209078009, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506432209078007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506432209078009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253216104539003 + 253216104539004.

It is an arithmetic number, because the mean of its divisors is an integer number (253216104539004).

Almost surely, 2^{506432209078007} is an apocalyptic number.

506432209078007 is a deficient number, since it is larger than the sum of its proper divisors (1).

506432209078007 is an equidigital number, since it uses as much as digits as its factorization.

506432209078007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 506432209078007 in words is "five hundred six trillion, four hundred thirty-two billion, two hundred nine million, seventy-eight thousand, seven".