412241231057 has 2 divisors, whose sum is σ = 412241231058. Its totient is φ = 412241231056.

The previous prime is 412241231029. The next prime is 412241231063. The reversal of 412241231057 is 750132142214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388217471041 + 24023760016 = 623071^2 + 154996^2 .

It is a cyclic number.

It is not a de Polignac number, because 412241231057 - 2⁸ = 412241230801 is a prime.

It is a super-3 number, since 3×412241231057³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (412241231357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206120615528 + 206120615529.

It is an arithmetic number, because the mean of its divisors is an integer number (206120615529).

Almost surely, 2^412241231057 is an apocalyptic number.

It is an amenable number.

412241231057 is a deficient number, since it is larger than the sum of its proper divisors (1).

412241231057 is an equidigital number, since it uses as much as digits as its factorization.

412241231057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 412241231057 in words is "four hundred twelve billion, two hundred forty-one million, two hundred thirty-one thousand, fifty-seven".