52662234765625 has 81 divisors (see below), whose sum is σ = 70030291781191. Its totient is φ = 39593510000000.

The previous prime is 52662234765551. The next prime is 52662234765629. The reversal of 52662234765625 is 52656743226625.

The square root of 52662234765625 is 7256875.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12696472630521 + 39965762135104 = 3563211^2 + 6321848^2 .

It is not a de Polignac number, because 52662234765625 - 2¹⁵ = 52662234732857 is a prime.

It is a Duffinian number.

Its product of digits (217728000) is a multiple of the sum of its prime factors (1440).

It is not an unprimeable number, because it can be changed into a prime (52662234765629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 77104296534 + ... + 77104297216.

Almost surely, 2^{52662234765625} is an apocalyptic number.

52662234765625 is the 7256875-th square number.

52662234765625 is the 3628438-th centered octagonal number.

It is an amenable number.

52662234765625 is a deficient number, since it is larger than the sum of its proper divisors (17368057015566).

52662234765625 is an frugal number, since it uses more digits than its factorization.

52662234765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 705 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 61.

The spelling of 52662234765625 in words is "fifty-two trillion, six hundred sixty-two billion, two hundred thirty-four million, seven hundred sixty-five thousand, six hundred twenty-five".