125956835681 has 2 divisors, whose sum is σ = 125956835682. Its totient is φ = 125956835680.

The previous prime is 125956835651. The next prime is 125956835689. The reversal of 125956835681 is 186538659521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106991139025 + 18965696656 = 327095^2 + 137716^2 .

It is a cyclic number.

It is not a de Polignac number, because 125956835681 - 2⁶ = 125956835617 is a prime.

It is a super-2 number, since 2×125956835681² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125956835681.

It is not a weakly prime, because it can be changed into another prime (125956835689) 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, 62978417840 + 62978417841.

It is an arithmetic number, because the mean of its divisors is an integer number (62978417841).

Almost surely, 2^125956835681 is an apocalyptic number.

It is an amenable number.

125956835681 is a deficient number, since it is larger than the sum of its proper divisors (1).

125956835681 is an equidigital number, since it uses as much as digits as its factorization.

125956835681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552000, while the sum is 59.

The spelling of 125956835681 in words is "one hundred twenty-five billion, nine hundred fifty-six million, eight hundred thirty-five thousand, six hundred eighty-one".