416125513 has 2 divisors, whose sum is σ = 416125514. Its totient is φ = 416125512.

The previous prime is 416125483. The next prime is 416125537. The reversal of 416125513 is 315521614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330803344 + 85322169 = 18188^2 + 9237^2 .

It is a cyclic number.

It is not a de Polignac number, because 416125513 - 2⁵ = 416125481 is a prime.

It is not a weakly prime, because it can be changed into another prime (416125013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208062756 + 208062757.

It is an arithmetic number, because the mean of its divisors is an integer number (208062757).

Almost surely, 2^416125513 is an apocalyptic number.

It is an amenable number.

416125513 is a deficient number, since it is larger than the sum of its proper divisors (1).

416125513 is an equidigital number, since it uses as much as digits as its factorization.

416125513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600, while the sum is 28.

The square root of 416125513 is about 20399.1547128796. The cubic root of 416125513 is about 746.5773005245.

The spelling of 416125513 in words is "four hundred sixteen million, one hundred twenty-five thousand, five hundred thirteen".