52514544942864 has 315 divisors, whose sum is σ = 162093100517317. Its totient is φ = 16470977260032.

The previous prime is 52514544942859. The next prime is 52514544942907. The reversal of 52514544942864 is 46824944541525.

The square root of 52514544942864 is 7246692.

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

52514544942864 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 4 + 544 + 9 + 4 + 2 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40885026339600 + 11629518603264 = 6394140^2 + 3410208^2 .

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 13304924539 + ... + 13304928485.

Almost surely, 2^{52514544942864} is an apocalyptic number.

52514544942864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52514544942864 is the 7246692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52514544942864

52514544942864 is an abundant number, since it is smaller than the sum of its proper divisors (109578555574453).

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

52514544942864 is an frugal number, since it uses more digits than its factorization.

52514544942864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 3969 counting only the distinct ones).

The product of its digits is 221184000, while the sum is 63.

The spelling of 52514544942864 in words is "fifty-two trillion, five hundred fourteen billion, five hundred forty-four million, nine hundred forty-two thousand, eight hundred sixty-four".