125177035061249 has 2 divisors, whose sum is σ = 125177035061250. Its totient is φ = 125177035061248.

The previous prime is 125177035061227. The next prime is 125177035061297. The reversal of 125177035061249 is 942160530771521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124491881553649 + 685153507600 = 11157593^2 + 827740^2 .

It is a cyclic number.

It is not a de Polignac number, because 125177035061249 - 2⁸ = 125177035060993 is a prime.

It is a super-2 number, since 2×125177035061249² (a number of 29 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 125177035061249.

It is not a weakly prime, because it can be changed into another prime (125177035021249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62588517530624 + 62588517530625.

It is an arithmetic number, because the mean of its divisors is an integer number (62588517530625).

Almost surely, 2^{125177035061249} is an apocalyptic number.

It is an amenable number.

125177035061249 is a deficient number, since it is larger than the sum of its proper divisors (1).

125177035061249 is an equidigital number, since it uses as much as digits as its factorization.

125177035061249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 125177035061249 in words is "one hundred twenty-five trillion, one hundred seventy-seven billion, thirty-five million, sixty-one thousand, two hundred forty-nine".