416061313 has 2 divisors, whose sum is σ = 416061314. Its totient is φ = 416061312.

The previous prime is 416061311. The next prime is 416061353. The reversal of 416061313 is 313160614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393943104 + 22118209 = 19848^2 + 4703^2 .

It is a cyclic number.

It is not a de Polignac number, because 416061313 - 2¹ = 416061311 is a prime.

Together with 416061311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416061311) 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, 208030656 + 208030657.

It is an arithmetic number, because the mean of its divisors is an integer number (208030657).

Almost surely, 2^416061313 is an apocalyptic number.

It is an amenable number.

416061313 is a deficient number, since it is larger than the sum of its proper divisors (1).

416061313 is an equidigital number, since it uses as much as digits as its factorization.

416061313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 416061313 is about 20397.5810575666. The cubic root of 416061313 is about 746.5389044747.

The spelling of 416061313 in words is "four hundred sixteen million, sixty-one thousand, three hundred thirteen".