506536 has 8 divisors (see below), whose sum is σ = 949770. Its totient is φ = 253264.

The previous prime is 506533. The next prime is 506537. The reversal of 506536 is 635605.

It can be written as a sum of positive squares in only one way, i.e., 498436 + 8100 = 706^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 506536.

It is not an unprimeable number, because it can be changed into a prime (506531) by changing a digit.

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 as a sum of consecutive naturals, namely, 31651 + ... + 31666.

2⁵⁰⁶⁵³⁶ is an apocalyptic number.

It is an amenable number.

506536 is a deficient number, since it is larger than the sum of its proper divisors (443234).

506536 is a wasteful number, since it uses less digits than its factorization.

506536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63323 (or 63319 counting only the distinct ones).

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

The square root of 506536 is about 711.7134254740. The cubic root of 506536 is about 79.7143982757.

It can be divided in two parts, 506 and 536, that multiplied together give a triangular number (271216 = T₇₃₆).

The spelling of 506536 in words is "five hundred six thousand, five hundred thirty-six".