20782611852025 has 27 divisors (see below), whose sum is σ = 26267374534989. Its totient is φ = 16311441450720.

The previous prime is 20782611851951. The next prime is 20782611852127. The reversal of 20782611852025 is 52025811628702.

The square root of 20782611852025 is 4558795.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156553957561 + 20626057894464 = 395669^2 + 4541592^2 .

It is not a de Polignac number, because 20782611852025 - 2¹¹ = 20782611849977 is a prime.

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 20782611852025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1208072074 + ... + 1208089276.

Almost surely, 2^{20782611852025} is an apocalyptic number.

20782611852025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20782611852025 is the 4558795-th square number.

20782611852025 is the 2279398-th centered octagonal number.

It is an amenable number.

20782611852025 is a deficient number, since it is larger than the sum of its proper divisors (5484762682964).

20782611852025 is an frugal number, since it uses more digits than its factorization.

20782611852025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34522 (or 17261 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 20782611852025 in words is "twenty trillion, seven hundred eighty-two billion, six hundred eleven million, eight hundred fifty-two thousand, twenty-five".