506953 has 4 divisors (see below), whose sum is σ = 510340. Its totient is φ = 503568.

The previous prime is 506941. The next prime is 506963. The reversal of 506953 is 359605.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 356409 = 388^2 + 597^2 .

It is a cyclic number.

It is not a de Polignac number, because 506953 - 2¹³ = 498761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506903) 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 in 3 ways as a sum of consecutive naturals, for example, 1458 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (127585).

2⁵⁰⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

506953 is a deficient number, since it is larger than the sum of its proper divisors (3387).

506953 is a wasteful number, since it uses less digits than its factorization.

506953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 506953 is about 712.0063201967. The cubic root of 506953 is about 79.7362669329.

The spelling of 506953 in words is "five hundred six thousand, nine hundred fifty-three".