3205249283041 has 27 divisors (see below), whose sum is σ = 3687400776843. Its totient is φ = 2784307219200.

The previous prime is 3205249283011. The next prime is 3205249283057. The reversal of 3205249283041 is 1403829425023.

The square root of 3205249283041 is 1790321.

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

It can be written as a sum of positive squares in 13 ways, for example, as 43965283041 + 3161284000000 = 209679^2 + 1778000^2 .

It is not a de Polignac number, because 3205249283041 - 2¹⁷ = 3205249151969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3205249283011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 395656891 + ... + 395664991.

Almost surely, 2^{3205249283041} is an apocalyptic number.

3205249283041 is the 1790321-st square number.

3205249283041 is the 895161-st centered octagonal number.

It is an amenable number.

3205249283041 is a deficient number, since it is larger than the sum of its proper divisors (482151493802).

3205249283041 is an frugal number, since it uses more digits than its factorization.

3205249283041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 3205249283041 in words is "three trillion, two hundred five billion, two hundred forty-nine million, two hundred eighty-three thousand, forty-one".