506875650304 has 27 divisors (see below), whose sum is σ = 1011794056077. Its totient is φ = 253432129536.

The previous prime is 506875650293. The next prime is 506875650349. The reversal of 506875650304 is 403056578605.

The square root of 506875650304 is 711952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 337421574400 + 169454075904 = 580880^2 + 411648^2 .

It is a super-2 number, since 2×506875650304² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11368984 + ... + 11413480.

Almost surely, 2^506875650304 is an apocalyptic number.

506875650304 is the 711952-nd square number.

It is an amenable number.

506875650304 is a deficient number, since it is larger than the sum of its proper divisors (504918405773).

506875650304 is an frugal number, since it uses more digits than its factorization.

506875650304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89010 (or 44499 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

Multiplying 506875650304 by its sum of digits (49), we get a square (24836906864896 = 4983664²).

The spelling of 506875650304 in words is "five hundred six billion, eight hundred seventy-five million, six hundred fifty thousand, three hundred four".