10006562881 has 12 divisors (see below), whose sum is σ = 12015782400. Its totient is φ = 8300373480.

The previous prime is 10006562851. The next prime is 10006562893. The reversal of 10006562881 is 18826560001.

It is not a de Polignac number, because 10006562881 - 2⁹ = 10006562369 is a prime.

It is a super-2 number, since 2×10006562881² (a number of 21 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 10006562881.

It is not an unprimeable number, because it can be changed into a prime (10006562801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3292281 + ... + 3295318.

It is an arithmetic number, because the mean of its divisors is an integer number (1001315200).

Almost surely, 2^10006562881 is an apocalyptic number.

It is an amenable number.

10006562881 is a deficient number, since it is larger than the sum of its proper divisors (2009219519).

10006562881 is an equidigital number, since it uses as much as digits as its factorization.

10006562881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587644 (or 6587637 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 10006562881 in words is "ten billion, six million, five hundred sixty-two thousand, eight hundred eighty-one".