20526 has 16 divisors (see below), whose sum is σ = 44928. Its totient is φ = 6200.

The previous prime is 20521. The next prime is 20533. The reversal of 20526 is 62502.

Added to its reverse (62502) it gives a triangular number (83028 = T₄₀₇).

20526 = 4² + 5² + ... + 39².

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2²⁰⁵²⁶ is an apocalyptic number.

20526 is an abundant number, since it is smaller than the sum of its proper divisors (24402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464).

20526 is a wasteful number, since it uses less digits than its factorization.

20526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20526 is about 143.2689778005. The cubic root of 20526 is about 27.3800839164.

Adding to 20526 its reverse (62502), we get a triangular number (83028 = T₄₀₇).

It can be divided in two parts, 205 and 26, that added together give a triangular number (231 = T₂₁).

The spelling of 20526 in words is "twenty thousand, five hundred twenty-six".