263289055689 has 135 divisors (see below), whose sum is σ = 444577799127. Its totient is φ = 155166580800.

The previous prime is 263289055669. The next prime is 263289055691. The reversal of 263289055689 is 986550982362.

The square root of 263289055689 is 513117.

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

263289055689 is a `hidden beast` number, since 2 + 63 + 2 + 8 + 9 + 0 + 5 + 568 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149455694025 + 113833361664 = 386595^2 + 337392^2 .

It is not a de Polignac number, because 263289055689 - 2¹⁵ = 263289022921 is a prime.

It is a super-2 number, since 2×263289055689² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (263289055669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3606699357 + ... + 3606699429.

Almost surely, 2^263289055689 is an apocalyptic number.

263289055689 is the 513117-th square number.

263289055689 is the 256559-th centered octagonal number.

It is an amenable number.

263289055689 is a deficient number, since it is larger than the sum of its proper divisors (181288743438).

263289055689 is an frugal number, since it uses more digits than its factorization.

263289055689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 263289055689 in words is "two hundred sixty-three billion, two hundred eighty-nine million, fifty-five thousand, six hundred eighty-nine".