506557813 has 2 divisors, whose sum is σ = 506557814. Its totient is φ = 506557812.

The previous prime is 506557783. The next prime is 506557817. The reversal of 506557813 is 318755605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400920529 + 105637284 = 20023^2 + 10278^2 .

It is a cyclic number.

It is not a de Polignac number, because 506557813 - 2²¹ = 504460661 is a prime.

It is a super-2 number, since 2×506557813² = 513201635822685938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506557817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253278906 + 253278907.

It is an arithmetic number, because the mean of its divisors is an integer number (253278907).

Almost surely, 2^506557813 is an apocalyptic number.

It is an amenable number.

506557813 is a deficient number, since it is larger than the sum of its proper divisors (1).

506557813 is an equidigital number, since it uses as much as digits as its factorization.

506557813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 40.

The square root of 506557813 is about 22506.8392494370. The cubic root of 506557813 is about 797.1554250842.

The spelling of 506557813 in words is "five hundred six million, five hundred fifty-seven thousand, eight hundred thirteen".