1061009182809 has 27 divisors (see below), whose sum is σ = 1544946572767. Its totient is φ = 701672103600.

The previous prime is 1061009182799. The next prime is 1061009182819. The reversal of 1061009182809 is 9082819001601.

The square root of 1061009182809 is 1030053.

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

1061009182809 is a `hidden beast` number, since 1 + 0 + 610 + 0 + 9 + 1 + 8 + 28 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1061009182799) and next prime (1061009182819).

It can be written as a sum of positive squares in only one way, i.e., 874125892809 + 186883290000 = 934947^2 + 432300^2 .

It is not a de Polignac number, because 1061009182809 - 2¹⁵ = 1061009150041 is a prime.

It is a super-3 number, since 3×1061009182809³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1061009182819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 404809519 + ... + 404812139.

Almost surely, 2^{1061009182809} is an apocalyptic number.

1061009182809 is the 1030053-rd square number.

1061009182809 is the 515027-th centered octagonal number.

It is an amenable number.

1061009182809 is a deficient number, since it is larger than the sum of its proper divisors (483937389958).

1061009182809 is an frugal number, since it uses more digits than its factorization.

1061009182809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

It can be divided in two parts, 10610091 and 82809, that added together give a square (10692900 = 3270²).

The spelling of 1061009182809 in words is "one trillion, sixty-one billion, nine million, one hundred eighty-two thousand, eight hundred nine".