9205210612081 has 27 divisors (see below), whose sum is σ = 10480157852619. Its totient is φ = 8078959165200.

The previous prime is 9205210612051. The next prime is 9205210612163. The reversal of 9205210612081 is 1802160125029.

The square root of 9205210612081 is 3034009.

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

It can be written as a sum of positive squares in only one way, i.e., 4826989155681 + 4378221456400 = 2197041^2 + 2092420^2 .

It is not a de Polignac number, because 9205210612081 - 2¹⁷ = 9205210481009 is a prime.

It is a super-2 number, since 2×9205210612081² (a number of 27 digits) contains 22 as substring.

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 9205210612081.

It is not an unprimeable number, because it can be changed into a prime (9205210612051) 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 26 ways as a sum of consecutive naturals, for example, 967844116 + ... + 967853626.

Almost surely, 2^{9205210612081} is an apocalyptic number.

9205210612081 is the 3034009-th square number.

9205210612081 is the 1517005-th centered octagonal number.

It is an amenable number.

9205210612081 is a deficient number, since it is larger than the sum of its proper divisors (1274947240538).

9205210612081 is an frugal number, since it uses more digits than its factorization.

9205210612081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19102 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 9205210612081 in words is "nine trillion, two hundred five billion, two hundred ten million, six hundred twelve thousand, eighty-one".