505257 has 8 divisors (see below), whose sum is σ = 713376. Its totient is φ = 316992.

The previous prime is 505237. The next prime is 505277. The reversal of 505257 is 752505.

505257 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (505237) and next prime (505277).

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

It is not a de Polignac number, because 505257 - 2⁷ = 505129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505237) 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, 4903 + ... + 5004.

It is an arithmetic number, because the mean of its divisors is an integer number (89172).

2⁵⁰⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

505257 is a deficient number, since it is larger than the sum of its proper divisors (208119).

505257 is a wasteful number, since it uses less digits than its factorization.

505257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927.

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 505257 is about 710.8143217465. The cubic root of 505257 is about 79.6472489532.

The spelling of 505257 in words is "five hundred five thousand, two hundred fifty-seven".