47852345816521 has 27 divisors (see below), whose sum is σ = 51711365360781. Its totient is φ = 44274297191544.

The previous prime is 47852345816519. The next prime is 47852345816533. The reversal of 47852345816521 is 12561854325874.

The square root of 47852345816521 is 6917539.

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

It is not a de Polignac number, because 47852345816521 - 2¹ = 47852345816519 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47852345816521.

It is not an unprimeable number, because it can be changed into a prime (47852345816501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5651625130 + ... + 5651633596.

It is an arithmetic number, because the mean of its divisors is an integer number (1915235754103).

Almost surely, 2^{47852345816521} is an apocalyptic number.

47852345816521 is the 6917539-th square number.

47852345816521 is the 3458770-th centered octagonal number.

It is an amenable number.

47852345816521 is a deficient number, since it is larger than the sum of its proper divisors (3859019544260).

47852345816521 is an frugal number, since it uses more digits than its factorization.

47852345816521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17058 (or 8529 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 61.

The spelling of 47852345816521 in words is "forty-seven trillion, eight hundred fifty-two billion, three hundred forty-five million, eight hundred sixteen thousand, five hundred twenty-one".