10026829911289 has 3 divisors (see below), whose sum is σ = 10026833077807. Its totient is φ = 10026826744772.

The previous prime is 10026829911233. The next prime is 10026829911331. The reversal of 10026829911289 is 98211992862001.

The square root of 10026829911289 is 3166517.

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

10026829911289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3667818674025 + 6359011237264 = 1915155^2 + 2521708^2 .

It is not a de Polignac number, because 10026829911289 - 2¹⁵ = 10026829878521 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10026829911389) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1583259 + ... + 4749775.

Almost surely, 2^{10026829911289} is an apocalyptic number.

10026829911289 is the 3166517-th square number.

10026829911289 is the 1583259-th centered octagonal number.

It is an amenable number.

10026829911289 is a deficient number, since it is larger than the sum of its proper divisors (3166518).

10026829911289 is an frugal number, since it uses more digits than its factorization.

10026829911289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333034 (or 3166517 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 58.

The spelling of 10026829911289 in words is "ten trillion, twenty-six billion, eight hundred twenty-nine million, nine hundred eleven thousand, two hundred eighty-nine".