505439993 has 2 divisors, whose sum is σ = 505439994. Its totient is φ = 505439992.

The previous prime is 505439953. The next prime is 505440007. The reversal of 505439993 is 399934505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459159184 + 46280809 = 21428^2 + 6803^2 .

It is a cyclic number.

It is not a de Polignac number, because 505439993 - 2⁶ = 505439929 is a prime.

It is not a weakly prime, because it can be changed into another prime (505439933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252719996 + 252719997.

It is an arithmetic number, because the mean of its divisors is an integer number (252719997).

Almost surely, 2^505439993 is an apocalyptic number.

It is an amenable number.

505439993 is a deficient number, since it is larger than the sum of its proper divisors (1).

505439993 is an equidigital number, since it uses as much as digits as its factorization.

505439993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 656100, while the sum is 47.

The square root of 505439993 is about 22481.9926385541. The cubic root of 505439993 is about 796.5686328798.

The spelling of 505439993 in words is "five hundred five million, four hundred thirty-nine thousand, nine hundred ninety-three".