52200625 has 25 divisors (see below), whose sum is σ = 69306721. Its totient is φ = 39304000.

The previous prime is 52200623. The next prime is 52200641. The reversal of 52200625 is 52600225.

The square root of 52200625 is 7225.

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

It can be written as a sum of positive squares in 12 ways, for example, as 47430769 + 4769856 = 6887^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (25).

It is not a de Polignac number, because 52200625 - 2¹ = 52200623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52200596 and 52200605.

It is not an unprimeable number, because it can be changed into a prime (52200623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 3070617 + ... + 3070633.

Almost surely, 2^52200625 is an apocalyptic number.

52200625 is the 7225-th square number.

52200625 is the 3613-rd centered octagonal number.

It is an amenable number.

52200625 is a deficient number, since it is larger than the sum of its proper divisors (17106096).

52200625 is an frugal number, since it uses more digits than its factorization.

52200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The cubic root of 52200625 is about 373.7305221334.

It can be divided in two parts, 52200 and 625, that added together give a palindrome (52825).

The spelling of 52200625 in words is "fifty-two million, two hundred thousand, six hundred twenty-five".