125416587041 has 2 divisors, whose sum is σ = 125416587042. Its totient is φ = 125416587040.

The previous prime is 125416586989. The next prime is 125416587061. The reversal of 125416587041 is 140785614521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64158357025 + 61258230016 = 253295^2 + 247504^2 .

It is a cyclic number.

It is not a de Polignac number, because 125416587041 - 2¹⁰ = 125416586017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125416586983 and 125416587001.

It is not a weakly prime, because it can be changed into another prime (125416587061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62708293520 + 62708293521.

It is an arithmetic number, because the mean of its divisors is an integer number (62708293521).

Almost surely, 2^125416587041 is an apocalyptic number.

It is an amenable number.

125416587041 is a deficient number, since it is larger than the sum of its proper divisors (1).

125416587041 is an equidigital number, since it uses as much as digits as its factorization.

125416587041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 125416587041 in words is "one hundred twenty-five billion, four hundred sixteen million, five hundred eighty-seven thousand, forty-one".