206302182025 has 9 divisors (see below), whose sum is σ = 255817521813. Its totient is φ = 165039928800.

The previous prime is 206302181999. The next prime is 206302182049. The reversal of 206302182025 is 520281203602.

The square root of 206302182025 is 454205.

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 39155307129 + 167146874896 = 197877^2 + 408836^2 .

It is not a de Polignac number, because 206302182025 - 2¹⁷ = 206302050953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2225605 + ... + 2316445.

Almost surely, 2^206302182025 is an apocalyptic number.

206302182025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206302182025 is the 454205-th square number.

206302182025 is the 227103-rd centered octagonal number.

It is an amenable number.

206302182025 is a deficient number, since it is larger than the sum of its proper divisors (49515339788).

206302182025 is an frugal number, since it uses more digits than its factorization.

206302182025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181692 (or 90846 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 206302182025 its reverse (520281203602), we get a palindrome (726583385627).

The spelling of 206302182025 in words is "two hundred six billion, three hundred two million, one hundred eighty-two thousand, twenty-five".