405205315104397 has 2 divisors, whose sum is σ = 405205315104398. Its totient is φ = 405205315104396.

The previous prime is 405205315104379. The next prime is 405205315104463. The reversal of 405205315104397 is 793401513502504.

Together with previous prime (405205315104379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404962255258276 + 243059846121 = 20123674^2 + 493011^2 .

It is a cyclic number.

It is not a de Polignac number, because 405205315104397 - 2¹⁹ = 405205314580109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405205315104397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405205315404397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202602657552198 + 202602657552199.

It is an arithmetic number, because the mean of its divisors is an integer number (202602657552199).

Almost surely, 2^{405205315104397} is an apocalyptic number.

It is an amenable number.

405205315104397 is a deficient number, since it is larger than the sum of its proper divisors (1).

405205315104397 is an equidigital number, since it uses as much as digits as its factorization.

405205315104397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268000, while the sum is 49.

The spelling of 405205315104397 in words is "four hundred five trillion, two hundred five billion, three hundred fifteen million, one hundred four thousand, three hundred ninety-seven".