1156126004289 has 81 divisors (see below), whose sum is σ = 1839782542377. Its totient is φ = 699434765568.

The previous prime is 1156126004269. The next prime is 1156126004291. The reversal of 1156126004289 is 9824006216511.

The square root of 1156126004289 is 1075233.

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

1156126004289 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 12 + 600 + 4 + 28 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114281183025 + 1041844821264 = 338055^2 + 1020708^2 .

It is not a de Polignac number, because 1156126004289 - 2⁹ = 1156126003777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1156126004269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1590269244 + ... + 1590269970.

Almost surely, 2^{1156126004289} is an apocalyptic number.

1156126004289 is the 1075233-rd square number.

1156126004289 is the 537617-th centered octagonal number.

It is an amenable number.

1156126004289 is a deficient number, since it is larger than the sum of its proper divisors (683656538088).

1156126004289 is an frugal number, since it uses more digits than its factorization.

1156126004289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1156126004289 in words is "one trillion, one hundred fifty-six billion, one hundred twenty-six million, four thousand, two hundred eighty-nine".