405340211321057 has 2 divisors, whose sum is σ = 405340211321058. Its totient is φ = 405340211321056.

The previous prime is 405340211321033. The next prime is 405340211321081. The reversal of 405340211321057 is 750123112043504.

It is a balanced prime because it is at equal distance from previous prime (405340211321033) and next prime (405340211321081).

It can be written as a sum of positive squares in only one way, i.e., 405324844247761 + 15367073296 = 20132681^2 + 123964^2 .

It is a cyclic number.

It is not a de Polignac number, because 405340211321057 - 2¹² = 405340211316961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405340211321057.

It is not a weakly prime, because it can be changed into another prime (405340211321257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202670105660528 + 202670105660529.

It is an arithmetic number, because the mean of its divisors is an integer number (202670105660529).

Almost surely, 2^{405340211321057} is an apocalyptic number.

It is an amenable number.

405340211321057 is a deficient number, since it is larger than the sum of its proper divisors (1).

405340211321057 is an equidigital number, since it uses as much as digits as its factorization.

405340211321057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 405340211321057 in words is "four hundred five trillion, three hundred forty billion, two hundred eleven million, three hundred twenty-one thousand, fifty-seven".