1058361540289 has 9 divisors (see below), whose sum is σ = 1106402678563. Its totient is φ = 1012323188272.

The previous prime is 1058361540287. The next prime is 1058361540293. The reversal of 1058361540289 is 9820451638501.

It is a happy number.

The square root of 1058361540289 is 1028767.

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., 817908610689 + 240452929600 = 904383^2 + 490360^2 .

It is not a de Polignac number, because 1058361540289 - 2¹ = 1058361540287 is a prime.

It is a super-2 number, since 2×1058361540289² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1058361540287) 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 in 8 ways as a sum of consecutive naturals, for example, 23639277 + ... + 23684005.

Almost surely, 2^{1058361540289} is an apocalyptic number.

1058361540289 is the 1028767-th square number.

1058361540289 is the 514384-th centered octagonal number.

It is an amenable number.

1058361540289 is a deficient number, since it is larger than the sum of its proper divisors (48041138274).

1058361540289 is an frugal number, since it uses more digits than its factorization.

1058361540289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89504 (or 44752 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 1058361540289 in words is "one trillion, fifty-eight billion, three hundred sixty-one million, five hundred forty thousand, two hundred eighty-nine".