1905733913641 has 2 divisors, whose sum is σ = 1905733913642. Its totient is φ = 1905733913640.

The previous prime is 1905733913627. The next prime is 1905733913653. The reversal of 1905733913641 is 1463193375091.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1892883424041 + 12850489600 = 1375821^2 + 113360^2 .

It is a cyclic number.

It is not a de Polignac number, because 1905733913641 - 2²⁵ = 1905700359209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1905733914641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 952866956820 + 952866956821.

It is an arithmetic number, because the mean of its divisors is an integer number (952866956821).

Almost surely, 2^{1905733913641} is an apocalyptic number.

It is an amenable number.

1905733913641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1905733913641 is an equidigital number, since it uses as much as digits as its factorization.

1905733913641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 1905733913641 in words is "one trillion, nine hundred five billion, seven hundred thirty-three million, nine hundred thirteen thousand, six hundred forty-one".