125306509133009 has 2 divisors, whose sum is σ = 125306509133010. Its totient is φ = 125306509133008.

The previous prime is 125306509132991. The next prime is 125306509133021. The reversal of 125306509133009 is 900331905603521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68080733721025 + 57225775411984 = 8251105^2 + 7564772^2 .

It is a cyclic number.

It is not a de Polignac number, because 125306509133009 - 2⁴⁰ = 124206997505233 is a prime.

It is a super-2 number, since 2×125306509133009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (125306509133609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62653254566504 + 62653254566505.

It is an arithmetic number, because the mean of its divisors is an integer number (62653254566505).

Almost surely, 2^{125306509133009} is an apocalyptic number.

It is an amenable number.

125306509133009 is a deficient number, since it is larger than the sum of its proper divisors (1).

125306509133009 is an equidigital number, since it uses as much as digits as its factorization.

125306509133009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 656100, while the sum is 47.

The spelling of 125306509133009 in words is "one hundred twenty-five trillion, three hundred six billion, five hundred nine million, one hundred thirty-three thousand, nine".