26512 has 10 divisors (see below), whose sum is σ = 51398. Its totient is φ = 13248.

The previous prime is 26501. The next prime is 26513. The reversal of 26512 is 21562.

It is a happy number.

26512 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 5776 = 144^2 + 76^2 .

It is a super-2 number, since 2×26512² = 1405772288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 1657 = 26512 / (2 + 6 + 5 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (26513) by changing a digit.

26512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 813 + ... + 844.

2²⁶⁵¹² is an apocalyptic number.

It is an amenable number.

26512 is a deficient number, since it is larger than the sum of its proper divisors (24886).

26512 is a wasteful number, since it uses less digits than its factorization.

26512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

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

The square root of 26512 is about 162.8250594964. The cubic root of 26512 is about 29.8181592847.

Subtracting from 26512 its reverse (21562), we obtain a triangular number (4950 = T₉₉).

The spelling of 26512 in words is "twenty-six thousand, five hundred twelve".