125967310752061 has 2 divisors, whose sum is σ = 125967310752062. Its totient is φ = 125967310752060.

The previous prime is 125967310752013. The next prime is 125967310752067. The reversal of 125967310752061 is 160257013769521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112931131132836 + 13036179619225 = 10626906^2 + 3610565^2 .

It is a cyclic number.

It is not a de Polignac number, because 125967310752061 - 2²¹ = 125967308654909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125967310751993 and 125967310752011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125967310752067) 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, 62983655376030 + 62983655376031.

It is an arithmetic number, because the mean of its divisors is an integer number (62983655376031).

Almost surely, 2^{125967310752061} is an apocalyptic number.

It is an amenable number.

125967310752061 is a deficient number, since it is larger than the sum of its proper divisors (1).

125967310752061 is an equidigital number, since it uses as much as digits as its factorization.

125967310752061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 125967310752061 in words is "one hundred twenty-five trillion, nine hundred sixty-seven billion, three hundred ten million, seven hundred fifty-two thousand, sixty-one".