66525 has 12 divisors (see below), whose sum is σ = 110112. Its totient is φ = 35440.

The previous prime is 66523. The next prime is 66529. The reversal of 66525 is 52566.

66525 = 9² + 10² + ... + 58².

It is not a de Polignac number, because 66525 - 2¹ = 66523 is a prime.

Its product of digits (1800) is a multiple of the sum of its prime factors (900).

It is a Curzon number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 66495 and 66504.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66525.

It is not an unprimeable number, because it can be changed into a prime (66523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (9176).

2⁶⁶⁵²⁵ is an apocalyptic number.

It is an amenable number.

66525 is a deficient number, since it is larger than the sum of its proper divisors (43587).

66525 is a wasteful number, since it uses less digits than its factorization.

66525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 66525 is about 257.9244075306. The cubic root of 66525 is about 40.5192714259.

The spelling of 66525 in words is "sixty-six thousand, five hundred twenty-five".