506751 has 16 divisors (see below), whose sum is σ = 787200. Its totient is φ = 283968.

The previous prime is 506743. The next prime is 506773. The reversal of 506751 is 157605.

It is not a de Polignac number, because 506751 - 2³ = 506743 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506751.

It is not an unprimeable number, because it can be changed into a prime (506731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (49200).

2⁵⁰⁶⁷⁵¹ is an apocalyptic number.

506751 is a deficient number, since it is larger than the sum of its proper divisors (280449).

506751 is a wasteful number, since it uses less digits than its factorization.

506751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 506751 is about 711.8644533898. The cubic root of 506751 is about 79.7256749808.

The spelling of 506751 in words is "five hundred six thousand, seven hundred fifty-one".