520524225 has 105 divisors (see below), whose sum is σ = 1048373903. Its totient is φ = 256258080.

The previous prime is 520524223. The next prime is 520524227. The reversal of 520524225 is 522425025.

The square root of 520524225 is 22815.

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

It is an interprime number because it is at equal distance from previous prime (520524223) and next prime (520524227).

It can be written as a sum of positive squares in 7 ways, for example, as 510714801 + 9809424 = 22599^2 + 3132^2 .

It is not a de Polignac number, because 520524225 - 2¹ = 520524223 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520524223) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 40040319 + ... + 40040331.

Almost surely, 2^520524225 is an apocalyptic number.

520524225 is the 22815-th square number.

520524225 is the 11408-th centered octagonal number.

It is an amenable number.

520524225 is an abundant number, since it is smaller than the sum of its proper divisors (527849678).

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

520524225 is an frugal number, since it uses more digits than its factorization.

520524225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The cubic root of 520524225 is about 804.4152872384.

The spelling of 520524225 in words is "five hundred twenty million, five hundred twenty-four thousand, two hundred twenty-five".