527380964100 has 135 divisors (see below), whose sum is σ = 1709772631567. Its totient is φ = 140617494720.

The previous prime is 527380964057. The next prime is 527380964111. The reversal of 527380964100 is 1469083725.

The square root of 527380964100 is 726210.

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

527380964100 is a `hidden beast` number, since 5 + 2 + 73 + 80 + 96 + 410 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313315584516 + 214065379584 = 559746^2 + 462672^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65354866 + ... + 65362934.

It is a 1-persistent number, because it is pandigital, but 2⋅527380964100 = 1054761928200 is not.

Almost surely, 2^527380964100 is an apocalyptic number.

527380964100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

527380964100 is the 726210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527380964100

527380964100 is an abundant number, since it is smaller than the sum of its proper divisors (1182391667467).

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

527380964100 is an frugal number, since it uses more digits than its factorization.

527380964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 527380964100 in words is "five hundred twenty-seven billion, three hundred eighty million, nine hundred sixty-four thousand, one hundred".