506652017 has 2 divisors, whose sum is σ = 506652018. Its totient is φ = 506652016.

The previous prime is 506651993. The next prime is 506652019. The reversal of 506652017 is 710256605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365612641 + 141039376 = 19121^2 + 11876^2 .

It is a cyclic number.

It is not a de Polignac number, because 506652017 - 2¹⁶ = 506586481 is a prime.

Together with 506652019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506652019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253326008 + 253326009.

It is an arithmetic number, because the mean of its divisors is an integer number (253326009).

Almost surely, 2^506652017 is an apocalyptic number.

It is an amenable number.

506652017 is a deficient number, since it is larger than the sum of its proper divisors (1).

506652017 is an equidigital number, since it uses as much as digits as its factorization.

506652017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 506652017 is about 22508.9319382329. The cubic root of 506652017 is about 797.2048373942.

The spelling of 506652017 in words is "five hundred six million, six hundred fifty-two thousand, seventeen".