501965257 has 2 divisors, whose sum is σ = 501965258. Its totient is φ = 501965256.

The previous prime is 501965231. The next prime is 501965281. The reversal of 501965257 is 752569105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 483164361 + 18800896 = 21981^2 + 4336^2 .

It is a cyclic number.

It is not a de Polignac number, because 501965257 - 2⁷ = 501965129 is a prime.

It is not a weakly prime, because it can be changed into another prime (501965357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250982628 + 250982629.

It is an arithmetic number, because the mean of its divisors is an integer number (250982629).

Almost surely, 2^501965257 is an apocalyptic number.

It is an amenable number.

501965257 is a deficient number, since it is larger than the sum of its proper divisors (1).

501965257 is an equidigital number, since it uses as much as digits as its factorization.

501965257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94500, while the sum is 40.

The square root of 501965257 is about 22404.5811610037. The cubic root of 501965257 is about 794.7390502020.

The spelling of 501965257 in words is "five hundred one million, nine hundred sixty-five thousand, two hundred fifty-seven".