504951 has 8 divisors (see below), whose sum is σ = 712944. Its totient is φ = 316800.

The previous prime is 504947. The next prime is 504953. The reversal of 504951 is 159405.

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

It is not a de Polignac number, because 504951 - 2² = 504947 is a prime.

504951 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504953) 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, 4900 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (89118).

2⁵⁰⁴⁹⁵¹ is an apocalyptic number.

504951 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

504951 is a deficient number, since it is larger than the sum of its proper divisors (207993).

504951 is a wasteful number, since it uses less digits than its factorization.

504951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 504951 is about 710.5990430616. The cubic root of 504951 is about 79.6311667218.

The spelling of 504951 in words is "five hundred four thousand, nine hundred fifty-one".