405412561556593 has 2 divisors, whose sum is σ = 405412561556594. Its totient is φ = 405412561556592.

The previous prime is 405412561556537. The next prime is 405412561556621. The reversal of 405412561556593 is 395655165214504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380663200190464 + 24749361366129 = 19510592^2 + 4974873^2 .

It is a cyclic number.

It is not a de Polignac number, because 405412561556593 - 2⁴⁵ = 370228189467761 is a prime.

It is not a weakly prime, because it can be changed into another prime (405412561550593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202706280778296 + 202706280778297.

It is an arithmetic number, because the mean of its divisors is an integer number (202706280778297).

Almost surely, 2^{405412561556593} is an apocalyptic number.

It is an amenable number.

405412561556593 is a deficient number, since it is larger than the sum of its proper divisors (1).

405412561556593 is an equidigital number, since it uses as much as digits as its factorization.

405412561556593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200000, while the sum is 61.

The spelling of 405412561556593 in words is "four hundred five trillion, four hundred twelve billion, five hundred sixty-one million, five hundred fifty-six thousand, five hundred ninety-three".