501257 has 2 divisors, whose sum is σ = 501258. Its totient is φ = 501256.

The previous prime is 501233. The next prime is 501271. The reversal of 501257 is 752105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 121801 = 616^2 + 349^2 .

It is a cyclic number.

It is not a de Polignac number, because 501257 - 2⁸ = 501001 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 501257.

It is not a weakly prime, because it can be changed into another prime (501217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250628 + 250629.

It is an arithmetic number, because the mean of its divisors is an integer number (250629).

2⁵⁰¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

501257 is a deficient number, since it is larger than the sum of its proper divisors (1).

501257 is an equidigital number, since it uses as much as digits as its factorization.

501257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 501257 is about 707.9950564799. The cubic root of 501257 is about 79.4365090431.

The spelling of 501257 in words is "five hundred one thousand, two hundred fifty-seven".