125634638420377 has 2 divisors, whose sum is σ = 125634638420378. Its totient is φ = 125634638420376.

The previous prime is 125634638420371. The next prime is 125634638420383. The reversal of 125634638420377 is 773024836436521.

It is a balanced prime because it is at equal distance from previous prime (125634638420371) and next prime (125634638420383).

It can be written as a sum of positive squares in only one way, i.e., 88374589402176 + 37260049018201 = 9400776^2 + 6104101^2 .

It is a cyclic number.

It is not a de Polignac number, because 125634638420377 - 2²³ = 125634630031769 is a prime.

It is a super-2 number, since 2×125634638420377² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (125634638420371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62817319210188 + 62817319210189.

It is an arithmetic number, because the mean of its divisors is an integer number (62817319210189).

Almost surely, 2^{125634638420377} is an apocalyptic number.

It is an amenable number.

125634638420377 is a deficient number, since it is larger than the sum of its proper divisors (1).

125634638420377 is an equidigital number, since it uses as much as digits as its factorization.

125634638420377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121927680, while the sum is 61.

The spelling of 125634638420377 in words is "one hundred twenty-five trillion, six hundred thirty-four billion, six hundred thirty-eight million, four hundred twenty thousand, three hundred seventy-seven".