52078348540089 has 135 divisors (see below), whose sum is σ = 81605582355115. Its totient is φ = 33233000448960.

The previous prime is 52078348540051. The next prime is 52078348540111. The reversal of 52078348540089 is 98004584387025.

The square root of 52078348540089 is 7216533.

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

52078348540089 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 8 + 3 + 4 + 8 + 540 + 0 + 89 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 51404813181225 + 673535358864 = 7169715^2 + 820692^2 .

It is not a de Polignac number, because 52078348540089 - 2⁷ = 52078348539961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52078348440089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 982610349787 + ... + 982610349839.

Almost surely, 2^{52078348540089} is an apocalyptic number.

52078348540089 is the 7216533-rd square number.

52078348540089 is the 3608267-th centered octagonal number.

It is an amenable number.

52078348540089 is a deficient number, since it is larger than the sum of its proper divisors (29527233815026).

52078348540089 is an frugal number, since it uses more digits than its factorization.

52078348540089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 52078348540089 in words is "fifty-two trillion, seventy-eight billion, three hundred forty-eight million, five hundred forty thousand, eighty-nine".