506038349 has 2 divisors, whose sum is σ = 506038350. Its totient is φ = 506038348.

The previous prime is 506038333. The next prime is 506038361. The reversal of 506038349 is 943830605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 437562724 + 68475625 = 20918^2 + 8275^2 .

It is a cyclic number.

It is not a de Polignac number, because 506038349 - 2⁴ = 506038333 is a prime.

It is equal to p_26656751 and since 506038349 and 26656751 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506038369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253019174 + 253019175.

It is an arithmetic number, because the mean of its divisors is an integer number (253019175).

Almost surely, 2^506038349 is an apocalyptic number.

It is an amenable number.

506038349 is a deficient number, since it is larger than the sum of its proper divisors (1).

506038349 is an equidigital number, since it uses as much as digits as its factorization.

506038349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 506038349 is about 22495.2961527516. The cubic root of 506038349 is about 796.8828433810.

The spelling of 506038349 in words is "five hundred six million, thirty-eight thousand, three hundred forty-nine".