527620900 has 27 divisors (see below), whose sum is σ = 1145436019. Its totient is φ = 210956480.

The previous prime is 527620889. The next prime is 527620909. The reversal of 527620900 is 9026725.

The square root of 527620900 is 22970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15413476 + 512207424 = 3926^2 + 22632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (527620909) 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 8 ways as a sum of consecutive naturals, for example, 228552 + ... + 230848.

Almost surely, 2^527620900 is an apocalyptic number.

527620900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

527620900 is the 22970-th square number.

It is an amenable number.

527620900 is an abundant number, since it is smaller than the sum of its proper divisors (617815119).

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

527620900 is an equidigital number, since it uses as much as digits as its factorization.

527620900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 527620900 is about 808.0545191622.

The spelling of 527620900 in words is "five hundred twenty-seven million, six hundred twenty thousand, nine hundred".