2005223091481 has 9 divisors (see below), whose sum is σ = 2039870962623. Its totient is φ = 1971154128000.

The previous prime is 2005223091451. The next prime is 2005223091499. The reversal of 2005223091481 is 1841903225002.

The square root of 2005223091481 is 1416059.

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

It can be written as a sum of positive squares in only one way, i.e., 539477029081 + 1465746062400 = 734491^2 + 1210680^2 .

It is not a de Polignac number, because 2005223091481 - 2¹⁷ = 2005222960409 is a prime.

It is a super-2 number, since 2×2005223091481² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005223091481.

It is not an unprimeable number, because it can be changed into a prime (2005223091401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83535481 + ... + 83559481.

Almost surely, 2^{2005223091481} is an apocalyptic number.

2005223091481 is the 1416059-th square number.

2005223091481 is the 708030-th centered octagonal number.

It is an amenable number.

2005223091481 is a deficient number, since it is larger than the sum of its proper divisors (34647871142).

2005223091481 is an frugal number, since it uses more digits than its factorization.

2005223091481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48120 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 2005223091481 in words is "two trillion, five billion, two hundred twenty-three million, ninety-one thousand, four hundred eighty-one".