10212262009569 has 27 divisors (see below), whose sum is σ = 15120183844857. Its totient is φ = 6641865979200.

The previous prime is 10212262009567. The next prime is 10212262009601. The reversal of 10212262009569 is 96590026221201.

The square root of 10212262009569 is 3195663.

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

10212262009569 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 22 + 62 + 0 + 0 + 9 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2593668377169 + 7618593632400 = 1610487^2 + 2760180^2 .

It is not a de Polignac number, because 10212262009569 - 2¹ = 10212262009567 is a prime.

It is a super-2 number, since 2×10212262009569² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10212262009567) 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, 393053559 + ... + 393079539.

Almost surely, 2^{10212262009569} is an apocalyptic number.

10212262009569 is the 3195663-rd square number.

10212262009569 is the 1597832-nd centered octagonal number.

It is an amenable number.

10212262009569 is a deficient number, since it is larger than the sum of its proper divisors (4907921835288).

10212262009569 is an frugal number, since it uses more digits than its factorization.

10212262009569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52050 (or 26025 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10212262009569 in words is "ten trillion, two hundred twelve billion, two hundred sixty-two million, nine thousand, five hundred sixty-nine".