252251125417 has 2 divisors, whose sum is σ = 252251125418. Its totient is φ = 252251125416.

The previous prime is 252251125397. The next prime is 252251125421. The reversal of 252251125417 is 714521152252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178756457616 + 73494667801 = 422796^2 + 271099^2 .

It is a cyclic number.

It is not a de Polignac number, because 252251125417 - 2¹⁹ = 252250601129 is a prime.

It is not a weakly prime, because it can be changed into another prime (252251125447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126125562708 + 126125562709.

It is an arithmetic number, because the mean of its divisors is an integer number (126125562709).

Almost surely, 2^252251125417 is an apocalyptic number.

It is an amenable number.

252251125417 is a deficient number, since it is larger than the sum of its proper divisors (1).

252251125417 is an equidigital number, since it uses as much as digits as its factorization.

252251125417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56000, while the sum is 37.

Adding to 252251125417 its reverse (714521152252), we get a palindrome (966772277669).

It can be divided in two parts, 25225112 and 5417, that added together give a square (25230529 = 5023²).

The spelling of 252251125417 in words is "two hundred fifty-two billion, two hundred fifty-one million, one hundred twenty-five thousand, four hundred seventeen".