527388225 has 192 divisors, whose sum is σ = 1166592000. Its totient is φ = 208293120.

The previous prime is 527388223. The next prime is 527388227. The reversal of 527388225 is 522883725.

It is an interprime number because it is at equal distance from previous prime (527388223) and next prime (527388227).

It is not a de Polignac number, because 527388225 - 2¹ = 527388223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (527388223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6354034 + ... + 6354116.

It is an arithmetic number, because the mean of its divisors is an integer number (6076000).

Almost surely, 2^527388225 is an apocalyptic number.

It is an amenable number.

527388225 is an abundant number, since it is smaller than the sum of its proper divisors (639203775).

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

527388225 is a wasteful number, since it uses less digits than its factorization.

527388225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 527388225 is about 22964.9346831207. The cubic root of 527388225 is about 807.9357206527.

The spelling of 527388225 in words is "five hundred twenty-seven million, three hundred eighty-eight thousand, two hundred twenty-five".