52200225 has 144 divisors (see below), whose sum is σ = 122563584. Its totient is φ = 20592000.

The previous prime is 52200193. The next prime is 52200227.

52200225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52200225 - 2⁵ = 52200193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52200198 and 52200207.

It is not an unprimeable number, because it can be changed into a prime (52200227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398410 + ... + 398540.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^52200225 is an apocalyptic number.

52200225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52200225 is an abundant number, since it is smaller than the sum of its proper divisors (70363359).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52200225 is a wasteful number, since it uses less digits than its factorization.

52200225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 52200225 is about 7224.9723182861. The cubic root of 52200225 is about 373.7295675306.

Adding to 52200225 its product of nonzero digits (400), we get a 4-th power (52200625 = 85⁴).

It can be divided in two parts, 52200 and 225, that added together give a palindrome (52425).

The spelling of 52200225 in words is "fifty-two million, two hundred thousand, two hundred twenty-five".