10589225383881 has 27 divisors (see below), whose sum is σ = 15989824719687. Its totient is φ = 6752406339360.

The previous prime is 10589225383859. The next prime is 10589225383901. The reversal of 10589225383881 is 18838352298501.

The square root of 10589225383881 is 3254109.

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

10589225383881 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 92 + 2 + 538 + 3 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1605058414281 + 8984166969600 = 1266909^2 + 2997360^2 .

It is not a de Polignac number, because 10589225383881 - 2⁴³ = 1793132361673 is a prime.

It is a super-2 number, since 2×10589225383881² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10589225388881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224509941 + ... + 224557101.

Almost surely, 2^{10589225383881} is an apocalyptic number.

10589225383881 is the 3254109-th square number.

10589225383881 is the 1627055-th centered octagonal number.

It is an amenable number.

10589225383881 is a deficient number, since it is larger than the sum of its proper divisors (5400599335806).

10589225383881 is an frugal number, since it uses more digits than its factorization.

10589225383881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94374 (or 47187 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 10589225383881 in words is "ten trillion, five hundred eighty-nine billion, two hundred twenty-five million, three hundred eighty-three thousand, eight hundred eighty-one".