250753 has 2 divisors, whose sum is σ = 250754. Its totient is φ = 250752.

The previous prime is 250751. The next prime is 250777. The reversal of 250753 is 357052.

250753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 71824 = 423^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 250753 - 2¹ = 250751 is a prime.

It is a super-3 number, since 3×250753³ = 47299839551123331, which contains 333 as substring.

Together with 250751, it forms a pair of twin primes.

250753 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (250751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125376 + 125377.

It is an arithmetic number, because the mean of its divisors is an integer number (125377).

2²⁵⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

250753 is a deficient number, since it is larger than the sum of its proper divisors (1).

250753 is an equidigital number, since it uses as much as digits as its factorization.

250753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 250753 is about 500.7524338433. The cubic root of 250753 is about 63.0592371365.

The spelling of 250753 in words is "two hundred fifty thousand, seven hundred fifty-three".