413012221204657 has 2 divisors, whose sum is σ = 413012221204658. Its totient is φ = 413012221204656.

The previous prime is 413012221204643. The next prime is 413012221204703. The reversal of 413012221204657 is 756402122210314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236706963760656 + 176305257444001 = 15385284^2 + 13277999^2 .

It is a cyclic number.

It is not a de Polignac number, because 413012221204657 - 2³¹ = 413010073721009 is a prime.

It is not a weakly prime, because it can be changed into another prime (413012221204607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206506110602328 + 206506110602329.

It is an arithmetic number, because the mean of its divisors is an integer number (206506110602329).

Almost surely, 2^{413012221204657} is an apocalyptic number.

It is an amenable number.

413012221204657 is a deficient number, since it is larger than the sum of its proper divisors (1).

413012221204657 is an equidigital number, since it uses as much as digits as its factorization.

413012221204657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 413012221204657 in words is "four hundred thirteen trillion, twelve billion, two hundred twenty-one million, two hundred four thousand, six hundred fifty-seven".