506545983 has 18 divisors (see below), whose sum is σ = 756054312. Its totient is φ = 326798280.

The previous prime is 506545981. The next prime is 506546011. The reversal of 506545983 is 389545605.

506545983 is a `hidden beast` number, since 5 + 0 + 6 + 54 + 598 + 3 = 666.

It is not a de Polignac number, because 506545983 - 2¹ = 506545981 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506545981) 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 17 ways as a sum of consecutive naturals, for example, 20635 + ... + 37932.

Almost surely, 2^506545983 is an apocalyptic number.

506545983 is a deficient number, since it is larger than the sum of its proper divisors (249508329).

506545983 is a wasteful number, since it uses less digits than its factorization.

506545983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58635 (or 58601 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 506545983 is about 22506.5764388989. The cubic root of 506545983 is about 797.1492195259.

It can be divided in two parts, 506545 and 983, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 506545983 in words is "five hundred six million, five hundred forty-five thousand, nine hundred eighty-three".