253205417 has 2 divisors, whose sum is σ = 253205418. Its totient is φ = 253205416.

The previous prime is 253205389. The next prime is 253205437. The reversal of 253205417 is 714502352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209062681 + 44142736 = 14459^2 + 6644^2 .

It is a cyclic number.

It is not a de Polignac number, because 253205417 - 2⁶ = 253205353 is a prime.

It is a super-2 number, since 2×253205417² = 128225966396287778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253205417.

It is not a weakly prime, because it can be changed into another prime (253205437) 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, 126602708 + 126602709.

It is an arithmetic number, because the mean of its divisors is an integer number (126602709).

Almost surely, 2^253205417 is an apocalyptic number.

It is an amenable number.

253205417 is a deficient number, since it is larger than the sum of its proper divisors (1).

253205417 is an equidigital number, since it uses as much as digits as its factorization.

253205417 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 253205417 is about 15912.4296384933. The cubic root of 253205417 is about 632.6414808461.

Adding to 253205417 its reverse (714502352), we get a palindrome (967707769).

The spelling of 253205417 in words is "two hundred fifty-three million, two hundred five thousand, four hundred seventeen".