1782249030081 has 27 divisors (see below), whose sum is σ = 2787701715747. Its totient is φ = 1096736593680.

The previous prime is 1782249030053. The next prime is 1782249030083. The reversal of 1782249030081 is 1800309422871.

It is a happy number.

The square root of 1782249030081 is 1335009.

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

1782249030081 is a `hidden beast` number, since 1 + 7 + 82 + 2 + 490 + 3 + 0 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 263646306225 + 1518602723856 = 513465^2 + 1232316^2 .

It is not a de Polignac number, because 1782249030081 - 2¹¹ = 1782249028033 is a prime.

It is a super-2 number, since 2×1782249030081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1782249030083) 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 26 ways as a sum of consecutive naturals, for example, 52048236 + ... + 52082466.

Almost surely, 2^{1782249030081} is an apocalyptic number.

1782249030081 is the 1335009-th square number.

1782249030081 is the 667505-th centered octagonal number.

It is an amenable number.

1782249030081 is a deficient number, since it is larger than the sum of its proper divisors (1005452685666).

1782249030081 is an frugal number, since it uses more digits than its factorization.

1782249030081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68494 (or 34247 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1782249030081 in words is "one trillion, seven hundred eighty-two billion, two hundred forty-nine million, thirty thousand, eighty-one".