527412917824 has 63 divisors (see below), whose sum is σ = 1133446673793. Its totient is φ = 243386487552.

The previous prime is 527412917797. The next prime is 527412917839. The reversal of 527412917824 is 428719214725.

The square root of 527412917824 is 726232.

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

It can be written as a sum of positive squares in only one way, i.e., 78019662400 + 449393255424 = 279320^2 + 670368^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

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, 75524637 + ... + 75531619.

Almost surely, 2^527412917824 is an apocalyptic number.

527412917824 is the 726232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527412917824

527412917824 is an abundant number, since it is smaller than the sum of its proper divisors (606033755969).

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

527412917824 is an frugal number, since it uses more digits than its factorization.

527412917824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14004 (or 6998 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The spelling of 527412917824 in words is "five hundred twenty-seven billion, four hundred twelve million, nine hundred seventeen thousand, eight hundred twenty-four".