10581868081 has 16 divisors (see below), whose sum is σ = 10826394768. Its totient is φ = 10340352000.

The previous prime is 10581868061. The next prime is 10581868103. The reversal of 10581868081 is 18086818501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2179395856 + 8402472225 = 46684^2 + 91665^2 .

It is a cyclic number.

It is not a de Polignac number, because 10581868081 - 2⁷ = 10581867953 is a prime.

It is a super-2 number, since 2×10581868081² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10581868051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8810281 + ... + 8811481.

It is an arithmetic number, because the mean of its divisors is an integer number (676649673).

Almost surely, 2^10581868081 is an apocalyptic number.

It is an amenable number.

10581868081 is a deficient number, since it is larger than the sum of its proper divisors (244526687).

10581868081 is a wasteful number, since it uses less digits than its factorization.

10581868081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 122880, while the sum is 46.

The spelling of 10581868081 in words is "ten billion, five hundred eighty-one million, eight hundred sixty-eight thousand, eighty-one".