16852972761 has 27 divisors (see below), whose sum is σ = 24630605181. Its totient is φ = 11104197984.

The previous prime is 16852972727. The next prime is 16852972819. The reversal of 16852972761 is 16727925861.

The square root of 16852972761 is 129819.

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

16852972761 is a `hidden beast` number, since 1 + 6 + 85 + 297 + 276 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2273859225 + 14579113536 = 47685^2 + 120744^2 .

It is not a de Polignac number, because 16852972761 - 2¹¹ = 16852970713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16852972698 and 16852972707.

It is not an unprimeable number, because it can be changed into a prime (16852972061) 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, 42450615 + ... + 42451011.

Almost surely, 2^16852972761 is an apocalyptic number.

16852972761 is the 129819-th square number.

16852972761 is the 64910-th centered octagonal number.

It is an amenable number.

16852972761 is a deficient number, since it is larger than the sum of its proper divisors (7777632420).

16852972761 is an frugal number, since it uses more digits than its factorization.

16852972761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 16852972761 in words is "sixteen billion, eight hundred fifty-two million, nine hundred seventy-two thousand, seven hundred sixty-one".