505117337 has 8 divisors (see below), whose sum is σ = 533182560. Its totient is φ = 478525716.

The previous prime is 505117321. The next prime is 505117369. The reversal of 505117337 is 733711505.

It is not a de Polignac number, because 505117337 - 2⁴ = 505117321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505117307) 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 7 ways as a sum of consecutive naturals, for example, 29963 + ... + 43680.

It is an arithmetic number, because the mean of its divisors is an integer number (66647820).

Almost surely, 2^505117337 is an apocalyptic number.

It is an amenable number.

505117337 is a deficient number, since it is larger than the sum of its proper divisors (28065223).

505117337 is an frugal number, since it uses more digits than its factorization.

505117337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73700 (or 73662 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 32.

The square root of 505117337 is about 22474.8156165963. The cubic root of 505117337 is about 796.3990958676.

The spelling of 505117337 in words is "five hundred five million, one hundred seventeen thousand, three hundred thirty-seven".