527953372816 has 45 divisors (see below), whose sum is σ = 1027769798601. Its totient is φ = 262728380736.

The previous prime is 527953372811. The next prime is 527953372831. The reversal of 527953372816 is 618273359725.

It is a happy number.

The square root of 527953372816 is 726604.

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., 286974490000 + 240978882816 = 535700^2 + 490896^2 .

It is a Duffinian number.

Its product of digits (19051200) is a multiple of the sum of its prime factors (1728).

It is not an unprimeable number, because it can be changed into a prime (527953372811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1084092925 + ... + 1084093411.

Almost surely, 2^527953372816 is an apocalyptic number.

527953372816 is the 726604-th square number.

It is an amenable number.

527953372816 is a deficient number, since it is larger than the sum of its proper divisors (499816425785).

527953372816 is an frugal number, since it uses more digits than its factorization.

527953372816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 862 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 58.

The spelling of 527953372816 in words is "five hundred twenty-seven billion, nine hundred fifty-three million, three hundred seventy-two thousand, eight hundred sixteen".