125744073409 has 2 divisors, whose sum is σ = 125744073410. Its totient is φ = 125744073408.

The previous prime is 125744073347. The next prime is 125744073431. The reversal of 125744073409 is 904370447521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84897642384 + 40846431025 = 291372^2 + 202105^2 .

It is a cyclic number.

It is not a de Polignac number, because 125744073409 - 2¹³ = 125744065217 is a prime.

It is not a weakly prime, because it can be changed into another prime (125744073439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62872036704 + 62872036705.

It is an arithmetic number, because the mean of its divisors is an integer number (62872036705).

Almost surely, 2^125744073409 is an apocalyptic number.

It is an amenable number.

125744073409 is a deficient number, since it is larger than the sum of its proper divisors (1).

125744073409 is an equidigital number, since it uses as much as digits as its factorization.

125744073409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 125744073409 in words is "one hundred twenty-five billion, seven hundred forty-four million, seventy-three thousand, four hundred nine".