26513520516441 has 24 divisors (see below), whose sum is σ = 43768973040000. Its totient is φ = 15150367944576.

The previous prime is 26513520516421. The next prime is 26513520516449. The reversal of 26513520516441 is 14461502531562.

26513520516441 is a `hidden beast` number, since 2 + 6 + 5 + 13 + 520 + 51 + 64 + 4 + 1 = 666.

It is not a de Polignac number, because 26513520516441 - 2¹⁴ = 26513520500057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26513520516449) 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 23 ways as a sum of consecutive naturals, for example, 1535316 + ... + 7442058.

It is an arithmetic number, because the mean of its divisors is an integer number (1823707210000).

Almost surely, 2^{26513520516441} is an apocalyptic number.

26513520516441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26513520516441 is a deficient number, since it is larger than the sum of its proper divisors (17255452523559).

26513520516441 is a wasteful number, since it uses less digits than its factorization.

26513520516441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978005 (or 5978002 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 26513520516441 in words is "twenty-six trillion, five hundred thirteen billion, five hundred twenty million, five hundred sixteen thousand, four hundred forty-one".