125000509 has 2 divisors, whose sum is σ = 125000510. Its totient is φ = 125000508.

The previous prime is 125000483. The next prime is 125000521. The reversal of 125000509 is 905000521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68525284 + 56475225 = 8278^2 + 7515^2 .

It is a cyclic number.

It is not a de Polignac number, because 125000509 - 2¹⁵ = 124967741 is a prime.

It is a Chen prime.

It is equal to p_7110166 and since 125000509 and 7110166 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125000509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125000549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62500254 + 62500255.

It is an arithmetic number, because the mean of its divisors is an integer number (62500255).

Almost surely, 2^125000509 is an apocalyptic number.

It is an amenable number.

125000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

125000509 is an equidigital number, since it uses as much as digits as its factorization.

125000509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 125000509 is about 11180.3626506478. The cubic root of 125000509 is about 500.0006786657. Note that the first 3 decimals are identical.

The spelling of 125000509 in words is "one hundred twenty-five million, five hundred nine", and thus it is an aban number.