1058209288249 has 9 divisors (see below), whose sum is σ = 1064909937189. Its totient is φ = 1051550558460.

The previous prime is 1058209288217. The next prime is 1058209288309. The reversal of 1058209288249 is 9428829028501.

The square root of 1058209288249 is 1028693.

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

It is not a de Polignac number, because 1058209288249 - 2⁵ = 1058209288217 is a prime.

It is a super-3 number, since 3×1058209288249³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1058209288193 and 1058209288202.

It is not an unprimeable number, because it can be changed into a prime (1058209288649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167673804 + ... + 167680114.

Almost surely, 2^{1058209288249} is an apocalyptic number.

1058209288249 is the 1028693-rd square number.

1058209288249 is the 514347-th centered octagonal number.

It is an amenable number.

1058209288249 is a deficient number, since it is larger than the sum of its proper divisors (6700648940).

1058209288249 is an frugal number, since it uses more digits than its factorization.

1058209288249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 1058209288249 in words is "one trillion, fifty-eight billion, two hundred nine million, two hundred eighty-eight thousand, two hundred forty-nine".