66825135 has 96 divisors (see below), whose sum is σ = 134395200. Its totient is φ = 31449600.

The previous prime is 66825133. The next prime is 66825151. The reversal of 66825135 is 53152866.

66825135 is a `hidden beast` number, since 66 + 82 + 513 + 5 = 666.

It is not a de Polignac number, because 66825135 - 2¹ = 66825133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66825135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66825133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661585 + ... + 661685.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 2^66825135 is an apocalyptic number.

66825135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66825135 is an abundant number, since it is smaller than the sum of its proper divisors (67570065).

66825135 is a wasteful number, since it uses less digits than its factorization.

66825135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 66825135 is about 8174.6642132873. The cubic root of 66825135 is about 405.8011576157.

The spelling of 66825135 in words is "sixty-six million, eight hundred twenty-five thousand, one hundred thirty-five".