505605093 has 16 divisors (see below), whose sum is σ = 771595776. Its totient is φ = 288486000.

The previous prime is 505605059. The next prime is 505605101. The reversal of 505605093 is 390506505.

It is not a de Polignac number, because 505605093 - 2¹⁸ = 505342949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505605013) 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 in 15 ways as a sum of consecutive naturals, for example, 3283 + ... + 31968.

It is an arithmetic number, because the mean of its divisors is an integer number (48224736).

Almost surely, 2^505605093 is an apocalyptic number.

It is an amenable number.

505605093 is a deficient number, since it is larger than the sum of its proper divisors (265990683).

505605093 is a wasteful number, since it uses less digits than its factorization.

505605093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35944.

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 505605093 is about 22485.6641663083. The cubic root of 505605093 is about 796.6553554490.

The spelling of 505605093 in words is "five hundred five million, six hundred five thousand, ninety-three".