1058135841 has 27 divisors (see below), whose sum is σ = 1779104691. Its totient is φ = 604258704.

The previous prime is 1058135833. The next prime is 1058135843. The reversal of 1058135841 is 1485318501.

The square root of 1058135841 is 32529.

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

1058135841 is a `hidden beast` number, since 1 + 0 + 581 + 35 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 358004241 + 700131600 = 18921^2 + 26460^2 .

It is not a de Polignac number, because 1058135841 - 2³ = 1058135833 is a prime.

It is a super-2 number, since 2×1058135841² = 2239302916017554562, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1058135796 and 1058135805.

It is not an unprimeable number, because it can be changed into a prime (1058135843) 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 26 ways as a sum of consecutive naturals, for example, 682335 + ... + 683883.

Almost surely, 2^1058135841 is an apocalyptic number.

1058135841 is the 32529-th square number.

1058135841 is the 16265-th centered octagonal number.

It is an amenable number.

1058135841 is a deficient number, since it is larger than the sum of its proper divisors (720968850).

1058135841 is an frugal number, since it uses more digits than its factorization.

1058135841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The cubic root of 1058135841 is about 1019.0147608696.

Multiplying 1058135841 by its sum of digits (36), we get a square (38092890276 = 195174²).

The spelling of 1058135841 in words is "one billion, fifty-eight million, one hundred thirty-five thousand, eight hundred forty-one".