9526540816 has 45 divisors (see below), whose sum is σ = 19997364711. Its totient is φ = 4394522496.

The previous prime is 9526540759. The next prime is 9526540819. The reversal of 9526540816 is 6180456259.

The square root of 9526540816 is 97604.

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

9526540816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 645363216 + 8881177600 = 25404^2 + 94240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9526540819) 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, 5074470 + ... + 5076346.

Almost surely, 2^9526540816 is an apocalyptic number.

9526540816 is the 97604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9526540816

9526540816 is an abundant number, since it is smaller than the sum of its proper divisors (10470823895).

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

9526540816 is an equidigital number, since it uses as much as digits as its factorization.

9526540816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The cubic root of 9526540816 is about 2119.8822777873.

The spelling of 9526540816 in words is "nine billion, five hundred twenty-six million, five hundred forty thousand, eight hundred sixteen".