506312617 has 2 divisors, whose sum is σ = 506312618. Its totient is φ = 506312616.

The previous prime is 506312591. The next prime is 506312621. The reversal of 506312617 is 716213605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312016896 + 194295721 = 17664^2 + 13939^2 .

It is a cyclic number.

It is not a de Polignac number, because 506312617 - 2¹⁹ = 505788329 is a prime.

It is a super-2 number, since 2×506312617² = 512704932266777378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (506312687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253156308 + 253156309.

It is an arithmetic number, because the mean of its divisors is an integer number (253156309).

Almost surely, 2^506312617 is an apocalyptic number.

It is an amenable number.

506312617 is a deficient number, since it is larger than the sum of its proper divisors (1).

506312617 is an equidigital number, since it uses as much as digits as its factorization.

506312617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 506312617 is about 22501.3914458640. The cubic root of 506312617 is about 797.0267850343.

The spelling of 506312617 in words is "five hundred six million, three hundred twelve thousand, six hundred seventeen".