506738413 has 2 divisors, whose sum is σ = 506738414. Its totient is φ = 506738412.

The previous prime is 506738389. The next prime is 506738429. The reversal of 506738413 is 314837605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423618724 + 83119689 = 20582^2 + 9117^2 .

It is a cyclic number.

It is not a de Polignac number, because 506738413 - 2¹³ = 506730221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506738213) 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, 253369206 + 253369207.

It is an arithmetic number, because the mean of its divisors is an integer number (253369207).

Almost surely, 2^506738413 is an apocalyptic number.

It is an amenable number.

506738413 is a deficient number, since it is larger than the sum of its proper divisors (1).

506738413 is an equidigital number, since it uses as much as digits as its factorization.

506738413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 506738413 is about 22510.8510056817. The cubic root of 506738413 is about 797.2501488323.

The spelling of 506738413 in words is "five hundred six million, seven hundred thirty-eight thousand, four hundred thirteen".