125624667661949 has 2 divisors, whose sum is σ = 125624667661950. Its totient is φ = 125624667661948.

The previous prime is 125624667661891. The next prime is 125624667662009. The reversal of 125624667661949 is 949166766426521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85347240059449 + 40277427602500 = 9238357^2 + 6346450^2 .

It is a cyclic number.

It is not a de Polignac number, because 125624667661949 - 2⁴⁰ = 124525156034173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125624667601949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62812333830974 + 62812333830975.

It is an arithmetic number, because the mean of its divisors is an integer number (62812333830975).

Almost surely, 2^{125624667661949} is an apocalyptic number.

It is an amenable number.

125624667661949 is a deficient number, since it is larger than the sum of its proper divisors (1).

125624667661949 is an equidigital number, since it uses as much as digits as its factorization.

125624667661949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1410877440, while the sum is 74.

The spelling of 125624667661949 in words is "one hundred twenty-five trillion, six hundred twenty-four billion, six hundred sixty-seven million, six hundred sixty-one thousand, nine hundred forty-nine".