501953 has 2 divisors, whose sum is σ = 501954. Its totient is φ = 501952.

The previous prime is 501947. The next prime is 501967. The reversal of 501953 is 359105.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 494209 + 7744 = 703^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 501953 - 2⁶ = 501889 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (500953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250976 + 250977.

It is an arithmetic number, because the mean of its divisors is an integer number (250977).

2⁵⁰¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

501953 is a deficient number, since it is larger than the sum of its proper divisors (1).

501953 is an equidigital number, since it uses as much as digits as its factorization.

501953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 501953 is about 708.4864148309. The cubic root of 501953 is about 79.4732581497.

The spelling of 501953 in words is "five hundred one thousand, nine hundred fifty-three".