2505123217 has 2 divisors, whose sum is σ = 2505123218. Its totient is φ = 2505123216.

The previous prime is 2505123199. The next prime is 2505123277. The reversal of 2505123217 is 7123215052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1488725056 + 1016398161 = 38584^2 + 31881^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505123217 - 2²³ = 2496734609 is a prime.

It is not a weakly prime, because it can be changed into another prime (2505123277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252561608 + 1252561609.

It is an arithmetic number, because the mean of its divisors is an integer number (1252561609).

Almost surely, 2^2505123217 is an apocalyptic number.

It is an amenable number.

2505123217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505123217 is an equidigital number, since it uses as much as digits as its factorization.

2505123217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2505123217 is about 50051.2059495074. The cubic root of 2505123217 is about 1358.1352790825.

Adding to 2505123217 its reverse (7123215052), we get a palindrome (9628338269).

The spelling of 2505123217 in words is "two billion, five hundred five million, one hundred twenty-three thousand, two hundred seventeen".