253000753 has 2 divisors, whose sum is σ = 253000754. Its totient is φ = 253000752.

The previous prime is 253000723. The next prime is 253000757. The reversal of 253000753 is 357000352.

253000753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236452129 + 16548624 = 15377^2 + 4068^2 .

It is a cyclic number.

It is not a de Polignac number, because 253000753 - 2¹⁷ = 252869681 is a prime.

It is a super-3 number, since 3×253000753³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (253000757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126500376 + 126500377.

It is an arithmetic number, because the mean of its divisors is an integer number (126500377).

Almost surely, 2^253000753 is an apocalyptic number.

It is an amenable number.

253000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

253000753 is an equidigital number, since it uses as much as digits as its factorization.

253000753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 25.

The square root of 253000753 is about 15905.9973909215. The cubic root of 253000753 is about 632.4709818117.

The spelling of 253000753 in words is "two hundred fifty-three million, seven hundred fifty-three", and thus it is an aban number.