123003253 has 2 divisors, whose sum is σ = 123003254. Its totient is φ = 123003252.

The previous prime is 123003227. The next prime is 123003317. The reversal of 123003253 is 352300321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86545809 + 36457444 = 9303^2 + 6038^2 .

It is an emirp because it is prime and its reverse (352300321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123003253 - 2¹⁷ = 122872181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123003253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123003953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61501626 + 61501627.

It is an arithmetic number, because the mean of its divisors is an integer number (61501627).

Almost surely, 2^123003253 is an apocalyptic number.

It is an amenable number.

123003253 is a deficient number, since it is larger than the sum of its proper divisors (1).

123003253 is an equidigital number, since it uses as much as digits as its factorization.

123003253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 123003253 is about 11090.6831620058. The cubic root of 123003253 is about 497.3233675122.

Adding to 123003253 its reverse (352300321), we get a palindrome (475303574).

It can be divided in two parts, 123003 and 253, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 123003253 in words is "one hundred twenty-three million, three thousand, two hundred fifty-three".