506356 has 12 divisors (see below), whose sum is σ = 891268. Its totient is φ = 251712.

The previous prime is 506351. The next prime is 506357. The reversal of 506356 is 653605.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 240100 = 516^2 + 490^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506351) by changing a digit.

506356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 880 + ... + 1336.

2⁵⁰⁶³⁵⁶ is an apocalyptic number.

It is an amenable number.

506356 is a deficient number, since it is larger than the sum of its proper divisors (384912).

506356 is a wasteful number, since it uses less digits than its factorization.

506356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 506356 is about 711.5869588462. The cubic root of 506356 is about 79.7049548589.

It can be divided in two parts, 50635 and 6, that multiplied together give a triangular number (303810 = T₇₇₉).

The spelling of 506356 in words is "five hundred six thousand, three hundred fifty-six".