1585781690971 has 2 divisors, whose sum is σ = 1585781690972. Its totient is φ = 1585781690970.

The previous prime is 1585781690891. The next prime is 1585781690993. The reversal of 1585781690971 is 1790961875851.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1585781690971 - 2¹⁷ = 1585781559899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1585781690897 and 1585781690906.

It is not a weakly prime, because it can be changed into another prime (1585781693971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 792890845485 + 792890845486.

It is an arithmetic number, because the mean of its divisors is an integer number (792890845486).

Almost surely, 2^{1585781690971} is an apocalyptic number.

1585781690971 is a deficient number, since it is larger than the sum of its proper divisors (1).

1585781690971 is an equidigital number, since it uses as much as digits as its factorization.

1585781690971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 67.

The spelling of 1585781690971 in words is "one trillion, five hundred eighty-five billion, seven hundred eighty-one million, six hundred ninety thousand, nine hundred seventy-one".