125661338041 has 2 divisors, whose sum is σ = 125661338042. Its totient is φ = 125661338040.

The previous prime is 125661338039. The next prime is 125661338113. The reversal of 125661338041 is 140833166521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101518704400 + 24142633641 = 318620^2 + 155379^2 .

It is a cyclic number.

It is not a de Polignac number, because 125661338041 - 2¹ = 125661338039 is a prime.

Together with 125661338039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 125661337985 and 125661338003.

It is not a weakly prime, because it can be changed into another prime (125661338441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62830669020 + 62830669021.

It is an arithmetic number, because the mean of its divisors is an integer number (62830669021).

Almost surely, 2^125661338041 is an apocalyptic number.

It is an amenable number.

125661338041 is a deficient number, since it is larger than the sum of its proper divisors (1).

125661338041 is an equidigital number, since it uses as much as digits as its factorization.

125661338041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 125661338041 in words is "one hundred twenty-five billion, six hundred sixty-one million, three hundred thirty-eight thousand, forty-one".