2508806117 has 2 divisors, whose sum is σ = 2508806118. Its totient is φ = 2508806116.

The previous prime is 2508806107. The next prime is 2508806119. The reversal of 2508806117 is 7116088052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1411805476 + 1097000641 = 37574^2 + 33121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2508806117 - 2¹⁶ = 2508740581 is a prime.

Together with 2508806119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2508806119) 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, 1254403058 + 1254403059.

It is an arithmetic number, because the mean of its divisors is an integer number (1254403059).

Almost surely, 2^2508806117 is an apocalyptic number.

It is an amenable number.

2508806117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2508806117 is an equidigital number, since it uses as much as digits as its factorization.

2508806117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 2508806117 is about 50087.9837585823. The cubic root of 2508806117 is about 1358.8005061420.

The spelling of 2508806117 in words is "two billion, five hundred eight million, eight hundred six thousand, one hundred seventeen".