53802225 has 45 divisors (see below), whose sum is σ = 100275483. Its totient is φ = 28518480.

The previous prime is 53802211. The next prime is 53802247. The reversal of 53802225 is 52220835.

The square root of 53802225 is 7335.

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

It can be written as a sum of positive squares in only one way, i.e., 19368801 + 34433424 = 4401^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 53802225 - 2⁷ = 53802097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 329994 + ... + 330156.

Almost surely, 2^53802225 is an apocalyptic number.

53802225 is the 7335-th square number.

53802225 is the 3668-th centered octagonal number.

It is an amenable number.

53802225 is a deficient number, since it is larger than the sum of its proper divisors (46473258).

53802225 is an equidigital number, since it uses as much as digits as its factorization.

53802225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 53802225 is about 377.5143043861.

The spelling of 53802225 in words is "fifty-three million, eight hundred two thousand, two hundred twenty-five".