1058211280817 has 16 divisors (see below), whose sum is σ = 1128960277200. Its totient is φ = 988418506752.

The previous prime is 1058211280813. The next prime is 1058211280891. The reversal of 1058211280817 is 7180821128501.

It can be written as a sum of positive squares in 8 ways, for example, as 1747992481 + 1056463288336 = 41809^2 + 1027844^2 .

It is a cyclic number.

It is not a de Polignac number, because 1058211280817 - 2² = 1058211280813 is a prime.

It is a super-2 number, since 2×1058211280817² (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 (1058211280813) 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 15 ways as a sum of consecutive naturals, for example, 2739383 + ... + 3101715.

It is an arithmetic number, because the mean of its divisors is an integer number (70560017325).

Almost surely, 2^{1058211280817} is an apocalyptic number.

1058211280817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1058211280817 is a deficient number, since it is larger than the sum of its proper divisors (70748996383).

1058211280817 is a wasteful number, since it uses less digits than its factorization.

1058211280817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363652.

The product of its (nonzero) digits is 71680, while the sum is 44.

The spelling of 1058211280817 in words is "one trillion, fifty-eight billion, two hundred eleven million, two hundred eighty thousand, eight hundred seventeen".