506656553 has 8 divisors (see below), whose sum is σ = 545862408. Its totient is φ = 467483904.

The previous prime is 506656547. The next prime is 506656583. The reversal of 506656553 is 355656605.

It can be written as a sum of positive squares in 4 ways, for example, as 10837264 + 495819289 = 3292^2 + 22267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506656553 - 2⁴ = 506656537 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506656553.

It is not an unprimeable number, because it can be changed into a prime (506656523) 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, 29951 + ... + 43707.

It is an arithmetic number, because the mean of its divisors is an integer number (68232801).

Almost surely, 2^506656553 is an apocalyptic number.

It is an amenable number.

506656553 is a deficient number, since it is larger than the sum of its proper divisors (39205855).

506656553 is a wasteful number, since it uses less digits than its factorization.

506656553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16603.

The product of its (nonzero) digits is 405000, while the sum is 41.

The square root of 506656553 is about 22509.0326980081. The cubic root of 506656553 is about 797.2072164829.

The spelling of 506656553 in words is "five hundred six million, six hundred fifty-six thousand, five hundred fifty-three".