506804337 has 64 divisors (see below), whose sum is σ = 853278720. Its totient is φ = 295099200.

The previous prime is 506804293. The next prime is 506804341. The reversal of 506804337 is 733408605.

It is a happy number.

506804337 is a `hidden beast` number, since 506 + 80 + 43 + 37 = 666.

It is not a de Polignac number, because 506804337 - 2⁶ = 506804273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506804387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510912 + ... + 511902.

It is an arithmetic number, because the mean of its divisors is an integer number (13332480).

Almost surely, 2^506804337 is an apocalyptic number.

It is an amenable number.

506804337 is a deficient number, since it is larger than the sum of its proper divisors (346474383).

506804337 is a wasteful number, since it uses less digits than its factorization.

506804337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 506804337 is about 22512.3152296693. The cubic root of 506804337 is about 797.2847200157.

The spelling of 506804337 in words is "five hundred six million, eight hundred four thousand, three hundred thirty-seven".