53509225 has 81 divisors (see below), whose sum is σ = 89539191. Its totient is φ = 31600800.

The previous prime is 53509213. The next prime is 53509231. The reversal of 53509225 is 52290535.

The square root of 53509225 is 7315.

It is a perfect power (a square), and thus also a powerful number.

53509225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19263321 + 34245904 = 4389^2 + 5852^2 .

It is not a de Polignac number, because 53509225 - 2⁷ = 53509097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2816266 + ... + 2816284.

Almost surely, 2^53509225 is an apocalyptic number.

53509225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53509225 is the 7315-th square number.

53509225 is the 3658-th centered octagonal number.

It is an amenable number.

53509225 is a deficient number, since it is larger than the sum of its proper divisors (36029966).

53509225 is a wasteful number, since it uses less digits than its factorization.

53509225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The cubic root of 53509225 is about 376.8277584719.

The spelling of 53509225 in words is "fifty-three million, five hundred nine thousand, two hundred twenty-five".