2250123257 has 2 divisors, whose sum is σ = 2250123258. Its totient is φ = 2250123256.

The previous prime is 2250123191. The next prime is 2250123263. The reversal of 2250123257 is 7523210522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1385998441 + 864124816 = 37229^2 + 29396^2 .

It is a cyclic number.

It is not a de Polignac number, because 2250123257 - 2¹⁰ = 2250122233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2250123157) 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, 1125061628 + 1125061629.

It is an arithmetic number, because the mean of its divisors is an integer number (1125061629).

Almost surely, 2^2250123257 is an apocalyptic number.

It is an amenable number.

2250123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2250123257 is an equidigital number, since it uses as much as digits as its factorization.

2250123257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2250123257 is about 47435.4641275913. The cubic root of 2250123257 is about 1310.3946244247.

Adding to 2250123257 its reverse (7523210522), we get a palindrome (9773333779).

The spelling of 2250123257 in words is "two billion, two hundred fifty million, one hundred twenty-three thousand, two hundred fifty-seven".