506503008173 has 2 divisors, whose sum is σ = 506503008174. Its totient is φ = 506503008172.

The previous prime is 506503008139. The next prime is 506503008199. The reversal of 506503008173 is 371800305605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 387404166724 + 119098841449 = 622418^2 + 345107^2 .

It is a cyclic number.

It is not a de Polignac number, because 506503008173 - 2¹⁰ = 506503007149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506503008133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253251504086 + 253251504087.

It is an arithmetic number, because the mean of its divisors is an integer number (253251504087).

Almost surely, 2^506503008173 is an apocalyptic number.

It is an amenable number.

506503008173 is a deficient number, since it is larger than the sum of its proper divisors (1).

506503008173 is an equidigital number, since it uses as much as digits as its factorization.

506503008173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 506503008173 in words is "five hundred six billion, five hundred three million, eight thousand, one hundred seventy-three".