1585045695361 has 2 divisors, whose sum is σ = 1585045695362. Its totient is φ = 1585045695360.

The previous prime is 1585045695353. The next prime is 1585045695371. The reversal of 1585045695361 is 1635965405851.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1411724185600 + 173321509761 = 1188160^2 + 416319^2 .

It is a cyclic number.

It is not a de Polignac number, because 1585045695361 - 2³ = 1585045695353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1585045695296 and 1585045695305.

It is not a weakly prime, because it can be changed into another prime (1585045695301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 792522847680 + 792522847681.

It is an arithmetic number, because the mean of its divisors is an integer number (792522847681).

Almost surely, 2^{1585045695361} is an apocalyptic number.

It is an amenable number.

1585045695361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1585045695361 is an equidigital number, since it uses as much as digits as its factorization.

1585045695361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440000, while the sum is 58.

The spelling of 1585045695361 in words is "one trillion, five hundred eighty-five billion, forty-five million, six hundred ninety-five thousand, three hundred sixty-one".