1585712041 has 3 divisors (see below), whose sum is σ = 1585751863. Its totient is φ = 1585672220.

The previous prime is 1585712017. The next prime is 1585712057. The reversal of 1585712041 is 1402175851.

The square root of 1585712041 is 39821.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1048399641 + 537312400 = 32379^2 + 23180^2 .

It is not a de Polignac number, because 1585712041 - 2⁹ = 1585711529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1585711988 and 1585712006.

It is not an unprimeable number, because it can be changed into a prime (1585712081) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19911 + ... + 59731.

Almost surely, 2^1585712041 is an apocalyptic number.

1585712041 is the 39821-st square number.

1585712041 is the 19911-st centered octagonal number.

It is an amenable number.

1585712041 is a deficient number, since it is larger than the sum of its proper divisors (39822).

1585712041 is an frugal number, since it uses more digits than its factorization.

1585712041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79642 (or 39821 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The cubic root of 1585712041 is about 1166.1151598043.

Adding to 1585712041 its reverse (1402175851), we get a palindrome (2987887892).

The spelling of 1585712041 in words is "one billion, five hundred eighty-five million, seven hundred twelve thousand, forty-one".