506767464327253 has 2 divisors, whose sum is σ = 506767464327254. Its totient is φ = 506767464327252.

The previous prime is 506767464327251. The next prime is 506767464327259. The reversal of 506767464327253 is 352723464767605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 422150977893969 + 84616486433284 = 20546313^2 + 9198722^2 .

It is a cyclic number.

It is not a de Polignac number, because 506767464327253 - 2¹ = 506767464327251 is a prime.

Together with 506767464327251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506767464327251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253383732163626 + 253383732163627.

It is an arithmetic number, because the mean of its divisors is an integer number (253383732163627).

Almost surely, 2^{506767464327253} is an apocalyptic number.

It is an amenable number.

506767464327253 is a deficient number, since it is larger than the sum of its proper divisors (1).

506767464327253 is an equidigital number, since it uses as much as digits as its factorization.

506767464327253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1066867200, while the sum is 67.

The spelling of 506767464327253 in words is "five hundred six trillion, seven hundred sixty-seven billion, four hundred sixty-four million, three hundred twenty-seven thousand, two hundred fifty-three".