506541 has 8 divisors (see below), whose sum is σ = 771904. Its totient is φ = 289440.

The previous prime is 506537. The next prime is 506551. The reversal of 506541 is 145605.

506541 = T₉₄ + T₉₅ + ... + T₁₅₆.

It is a happy number.

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

It is not a de Polignac number, because 506541 - 2² = 506537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 24121 = 506541 / (5 + 0 + 6 + 5 + 4 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12040 + ... + 12081.

It is an arithmetic number, because the mean of its divisors is an integer number (96488).

2⁵⁰⁶⁵⁴¹ is an apocalyptic number.

It is an amenable number.

506541 is a deficient number, since it is larger than the sum of its proper divisors (265363).

506541 is a wasteful number, since it uses less digits than its factorization.

506541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24131.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 506541 is about 711.7169381151. The cubic root of 506541 is about 79.7146605609.

The spelling of 506541 in words is "five hundred six thousand, five hundred forty-one".