26528013 has 16 divisors (see below), whose sum is σ = 39453760. Its totient is φ = 17616528.

The previous prime is 26527999. The next prime is 26528017. The reversal of 26528013 is 31082562.

26528013 is a `hidden beast` number, since 2 + 652 + 8 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 26528013 - 2¹⁰ = 26526989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26528017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5706 + ... + 9252.

It is an arithmetic number, because the mean of its divisors is an integer number (2465860).

Almost surely, 2^26528013 is an apocalyptic number.

It is an amenable number.

26528013 is a deficient number, since it is larger than the sum of its proper divisors (12925747).

26528013 is a wasteful number, since it uses less digits than its factorization.

26528013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 26528013 is about 5150.5352149073. The cubic root of 26528013 is about 298.2416137287.

The spelling of 26528013 in words is "twenty-six million, five hundred twenty-eight thousand, thirteen".