125864708833309 has 2 divisors, whose sum is σ = 125864708833310. Its totient is φ = 125864708833308.

The previous prime is 125864708833271. The next prime is 125864708833349. The reversal of 125864708833309 is 903338807468521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80465115955225 + 45399592878084 = 8970235^2 + 6737922^2 .

It is a cyclic number.

It is not a de Polignac number, because 125864708833309 - 2²¹ = 125864706736157 is a prime.

It is a super-2 number, since 2×125864708833309² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125864708833349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62932354416654 + 62932354416655.

It is an arithmetic number, because the mean of its divisors is an integer number (62932354416655).

It is a 1-persistent number, because it is pandigital, but 2⋅125864708833309 = 251729417666618 is not.

Almost surely, 2^{125864708833309} is an apocalyptic number.

It is an amenable number.

125864708833309 is a deficient number, since it is larger than the sum of its proper divisors (1).

125864708833309 is an equidigital number, since it uses as much as digits as its factorization.

125864708833309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 125864708833309 in words is "one hundred twenty-five trillion, eight hundred sixty-four billion, seven hundred eight million, eight hundred thirty-three thousand, three hundred nine".