506005057 has 2 divisors, whose sum is σ = 506005058. Its totient is φ = 506005056.

The previous prime is 506005039. The next prime is 506005091. The reversal of 506005057 is 750500605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301057201 + 204947856 = 17351^2 + 14316^2 .

It is a cyclic number.

It is not a de Polignac number, because 506005057 - 2²⁷ = 371787329 is a prime.

It is a super-2 number, since 2×506005057² = 512082235419146498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (506005457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253002528 + 253002529.

It is an arithmetic number, because the mean of its divisors is an integer number (253002529).

Almost surely, 2^506005057 is an apocalyptic number.

It is an amenable number.

506005057 is a deficient number, since it is larger than the sum of its proper divisors (1).

506005057 is an equidigital number, since it uses as much as digits as its factorization.

506005057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 506005057 is about 22494.5561636588. The cubic root of 506005057 is about 796.8653674950.

The spelling of 506005057 in words is "five hundred six million, five thousand, fifty-seven".