2553217 has 2 divisors, whose sum is σ = 2553218. Its totient is φ = 2553216.

The previous prime is 2553209. The next prime is 2553223. The reversal of 2553217 is 7123552.

2553217 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., 2163841 + 389376 = 1471^2 + 624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553217 - 2³ = 2553209 is a prime.

It is a d-powerful number, because it can be written as 2¹⁴ + 5⁸ + 5⁹ + 3¹⁰ + 2¹⁴ + 1 + 7⁶ .

2553217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2553191 and 2553200.

It is not a weakly prime, because it can be changed into another prime (2553227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276608 + 1276609.

It is an arithmetic number, because the mean of its divisors is an integer number (1276609).

2^2553217 is an apocalyptic number.

It is an amenable number.

2553217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553217 is an equidigital number, since it uses as much as digits as its factorization.

2553217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2100, while the sum is 25.

The square root of 2553217 is about 1597.8789065508. The cubic root of 2553217 is about 136.6771483798.

Adding to 2553217 its reverse (7123552), we get a palindrome (9676769).

The spelling of 2553217 in words is "two million, five hundred fifty-three thousand, two hundred seventeen".