416225810057 has 2 divisors, whose sum is σ = 416225810058. Its totient is φ = 416225810056.

The previous prime is 416225810003. The next prime is 416225810059. The reversal of 416225810057 is 750018522614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374469339721 + 41756470336 = 611939^2 + 204344^2 .

It is a cyclic number.

It is not a de Polignac number, because 416225810057 - 2⁸ = 416225809801 is a prime.

It is a super-3 number, since 3×416225810057³ (a number of 36 digits) contains 333 as substring.

Together with 416225810059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 416225809996 and 416225810023.

It is not a weakly prime, because it can be changed into another prime (416225810059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208112905028 + 208112905029.

It is an arithmetic number, because the mean of its divisors is an integer number (208112905029).

Almost surely, 2^416225810057 is an apocalyptic number.

It is an amenable number.

416225810057 is a deficient number, since it is larger than the sum of its proper divisors (1).

416225810057 is an equidigital number, since it uses as much as digits as its factorization.

416225810057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 416225810057 in words is "four hundred sixteen billion, two hundred twenty-five million, eight hundred ten thousand, fifty-seven".