125583617 has 2 divisors, whose sum is σ = 125583618. Its totient is φ = 125583616.

The previous prime is 125583571. The next prime is 125583637. The reversal of 125583617 is 716385521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76457536 + 49126081 = 8744^2 + 7009^2 .

It is a cyclic number.

It is not a de Polignac number, because 125583617 - 2¹⁰ = 125582593 is a prime.

It is not a weakly prime, because it can be changed into another prime (125583637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62791808 + 62791809.

It is an arithmetic number, because the mean of its divisors is an integer number (62791809).

Almost surely, 2^125583617 is an apocalyptic number.

It is an amenable number.

125583617 is a deficient number, since it is larger than the sum of its proper divisors (1).

125583617 is an equidigital number, since it uses as much as digits as its factorization.

125583617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 38.

The square root of 125583617 is about 11206.4096391306. The cubic root of 125583617 is about 500.7769480780.

The spelling of 125583617 in words is "one hundred twenty-five million, five hundred eighty-three thousand, six hundred seventeen".