26521 has 4 divisors (see below), whose sum is σ = 28944. Its totient is φ = 24100.

The previous prime is 26513. The next prime is 26539. The reversal of 26521 is 12562.

26521 = 44² + 45² + ... + 54².

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 26521 - 2³ = 26513 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 26495 and 26504.

It is not an unprimeable number, because it can be changed into a prime (26501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1195 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (7236).

2²⁶⁵²¹ is an apocalyptic number.

It is an amenable number.

26521 is a deficient number, since it is larger than the sum of its proper divisors (2423).

26521 is a wasteful number, since it uses less digits than its factorization.

26521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422.

The product of its digits is 120, while the sum is 16.

The square root of 26521 is about 162.8526941748. The cubic root of 26521 is about 29.8215330157.

It can be divided in two parts, 265 and 21, that multiplied together give a triangular number (5565 = T₁₀₅).

The spelling of 26521 in words is "twenty-six thousand, five hundred twenty-one".