125777753201 has 2 divisors, whose sum is σ = 125777753202. Its totient is φ = 125777753200.

The previous prime is 125777753191. The next prime is 125777753209. The reversal of 125777753201 is 102357777521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124566643600 + 1211109601 = 352940^2 + 34801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125777753201 is a prime.

It is not a weakly prime, because it can be changed into another prime (125777753209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62888876600 + 62888876601.

It is an arithmetic number, because the mean of its divisors is an integer number (62888876601).

Almost surely, 2^125777753201 is an apocalyptic number.

It is an amenable number.

125777753201 is a deficient number, since it is larger than the sum of its proper divisors (1).

125777753201 is an equidigital number, since it uses as much as digits as its factorization.

125777753201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720300, while the sum is 47.

The spelling of 125777753201 in words is "one hundred twenty-five billion, seven hundred seventy-seven million, seven hundred fifty-three thousand, two hundred one".