125085617 has 2 divisors, whose sum is σ = 125085618. Its totient is φ = 125085616.

The previous prime is 125085577. The next prime is 125085619. The reversal of 125085617 is 716580521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86843761 + 38241856 = 9319^2 + 6184^2 .

It is an emirp because it is prime and its reverse (716580521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125085617 - 2⁶ = 125085553 is a prime.

Together with 125085619, 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 (125085619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62542808 + 62542809.

It is an arithmetic number, because the mean of its divisors is an integer number (62542809).

Almost surely, 2^125085617 is an apocalyptic number.

It is an amenable number.

125085617 is a deficient number, since it is larger than the sum of its proper divisors (1).

125085617 is an equidigital number, since it uses as much as digits as its factorization.

125085617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 125085617 is about 11184.1681407246. The cubic root of 125085617 is about 500.1141299467.

The spelling of 125085617 in words is "one hundred twenty-five million, eighty-five thousand, six hundred seventeen".