10000026561 has 32 divisors (see below), whose sum is σ = 15427860480. Its totient is φ = 5643310464.

The previous prime is 10000026559. The next prime is 10000026571. The reversal of 10000026561 is 16562000001.

It is a happy number.

It is not a de Polignac number, because 10000026561 - 2¹ = 10000026559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000026571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834506 + ... + 1839948.

It is an arithmetic number, because the mean of its divisors is an integer number (482120640).

Almost surely, 2^10000026561 is an apocalyptic number.

It is an amenable number.

10000026561 is a deficient number, since it is larger than the sum of its proper divisors (5427833919).

10000026561 is an equidigital number, since it uses as much as digits as its factorization.

10000026561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10000026561 its reverse (16562000001), we get a palindrome (26562026562).

The spelling of 10000026561 in words is "ten billion, twenty-six thousand, five hundred sixty-one".