2505279372017 has 2 divisors, whose sum is σ = 2505279372018. Its totient is φ = 2505279372016.

The previous prime is 2505279371993. The next prime is 2505279372019. The reversal of 2505279372017 is 7102739725052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1618698942961 + 886580429056 = 1272281^2 + 941584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505279372017 - 2⁶ = 2505279371953 is a prime.

Together with 2505279372019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2505279372019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252639686008 + 1252639686009.

It is an arithmetic number, because the mean of its divisors is an integer number (1252639686009).

Almost surely, 2^{2505279372017} is an apocalyptic number.

It is an amenable number.

2505279372017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505279372017 is an equidigital number, since it uses as much as digits as its factorization.

2505279372017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1852200, while the sum is 50.

The spelling of 2505279372017 in words is "two trillion, five hundred five billion, two hundred seventy-nine million, three hundred seventy-two thousand, seventeen".