506338375905 has 24 divisors (see below), whose sum is σ = 878754443112. Its totient is φ = 269708285184.

The previous prime is 506338375897. The next prime is 506338375943. The reversal of 506338375905 is 509573833605.

506338375905 is a `hidden beast` number, since 50 + 63 + 383 + 75 + 90 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88651489536 + 417686886369 = 297744^2 + 646287^2 .

It is not a de Polignac number, because 506338375905 - 2³ = 506338375897 is a prime.

It is a super-2 number, since 2×506338375905² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7023084 + ... + 7094813.

It is an arithmetic number, because the mean of its divisors is an integer number (36614768463).

Almost surely, 2^506338375905 is an apocalyptic number.

It is an amenable number.

506338375905 is a deficient number, since it is larger than the sum of its proper divisors (372416067207).

506338375905 is a wasteful number, since it uses less digits than its factorization.

506338375905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118705 (or 14118702 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 506338375905 in words is "five hundred six billion, three hundred thirty-eight million, three hundred seventy-five thousand, nine hundred five".