506881 has 8 divisors (see below), whose sum is σ = 532224. Its totient is φ = 482160.

The previous prime is 506873. The next prime is 506887. The reversal of 506881 is 188605.

It is a happy number.

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 506881 - 2³ = 506873 is a prime.

It is a super-2 number, since 2×506881² = 513856696322, which contains 22 as substring.

It is a Duffinian number.

506881 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (506887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475 + ... + 2671.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

It is a Proth number, since it is equal to 495 ⋅ 2¹⁰ + 1 and 495 < 2¹⁰.

2⁵⁰⁶⁸⁸¹ is an apocalyptic number.

It is an amenable number.

506881 is a deficient number, since it is larger than the sum of its proper divisors (25343).

506881 is a wasteful number, since it uses less digits than its factorization.

506881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 506881 is about 711.9557570524. The cubic root of 506881 is about 79.7324919064.

The spelling of 506881 in words is "five hundred six thousand, eight hundred eighty-one".