1028165987201 has 12 divisors (see below), whose sum is σ = 1044187863012. Its totient is φ = 1012386405888.

The previous prime is 1028165987117. The next prime is 1028165987203. The reversal of 1028165987201 is 1027895618201.

It can be written as a sum of positive squares in 2 ways, for example, as 222482022400 + 805683964801 = 471680^2 + 897599^2 .

It is not a de Polignac number, because 1028165987201 - 2¹⁴ = 1028165970817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1028165987201.

It is not an unprimeable number, because it can be changed into a prime (1028165987203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10694321 + ... + 10790033.

It is an arithmetic number, because the mean of its divisors is an integer number (87015655251).

Almost surely, 2^{1028165987201} is an apocalyptic number.

It is an amenable number.

1028165987201 is a deficient number, since it is larger than the sum of its proper divisors (16021875811).

1028165987201 is an frugal number, since it uses more digits than its factorization.

1028165987201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98240 (or 98173 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 50.

The spelling of 1028165987201 in words is "one trillion, twenty-eight billion, one hundred sixty-five million, nine hundred eighty-seven thousand, two hundred one".