66553125 has 48 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 34200000.

The previous prime is 66553117. The next prime is 66553129. The reversal of 66553125 is 52135566.

It is not a de Polignac number, because 66553125 - 2³ = 66553117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66553129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290511 + ... + 290739.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^66553125 is an apocalyptic number.

It is an amenable number.

66553125 is a deficient number, since it is larger than the sum of its proper divisors (48439515).

66553125 is an equidigital number, since it uses as much as digits as its factorization.

66553125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 66553125 is about 8158.0098676086. The cubic root of 66553125 is about 405.2498077806.

It can be divided in two parts, 6655 and 3125, that multiplied together give a cube (20796875 = 275³).

The spelling of 66553125 in words is "sixty-six million, five hundred fifty-three thousand, one hundred twenty-five".