2629125617 has 2 divisors, whose sum is σ = 2629125618. Its totient is φ = 2629125616.

The previous prime is 2629125553. The next prime is 2629125619. The reversal of 2629125617 is 7165219262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2576476081 + 52649536 = 50759^2 + 7256^2 .

It is a cyclic number.

It is not a de Polignac number, because 2629125617 - 2⁶ = 2629125553 is a prime.

Together with 2629125619, 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 (2629125619) 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, 1314562808 + 1314562809.

It is an arithmetic number, because the mean of its divisors is an integer number (1314562809).

Almost surely, 2^2629125617 is an apocalyptic number.

It is an amenable number.

2629125617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2629125617 is an equidigital number, since it uses as much as digits as its factorization.

2629125617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 41.

The square root of 2629125617 is about 51274.9999219893. Note that the first 4 decimals coincide. The cubic root of 2629125617 is about 1380.1843933750.

The spelling of 2629125617 in words is "two billion, six hundred twenty-nine million, one hundred twenty-five thousand, six hundred seventeen".