1058135563113 has 32 divisors (see below), whose sum is σ = 1496201078400. Its totient is φ = 663303499776.

The previous prime is 1058135563063. The next prime is 1058135563201. The reversal of 1058135563113 is 3113655318501.

It is not a de Polignac number, because 1058135563113 - 2²² = 1058131368809 is a prime.

It is a super-2 number, since 2×1058135563113² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1058135563613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82089573 + ... + 82102461.

It is an arithmetic number, because the mean of its divisors is an integer number (46756283700).

Almost surely, 2^{1058135563113} is an apocalyptic number.

It is an amenable number.

1058135563113 is a deficient number, since it is larger than the sum of its proper divisors (438065515287).

1058135563113 is a wasteful number, since it uses less digits than its factorization.

1058135563113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23561.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 1058135563113 in words is "one trillion, fifty-eight billion, one hundred thirty-five million, five hundred sixty-three thousand, one hundred thirteen".