2685649052025 has 27 divisors (see below), whose sum is σ = 4810339886989. Its totient is φ = 1432333050720.

The previous prime is 2685649051937. The next prime is 2685649052039. The reversal of 2685649052025 is 5202509465862.

It is a happy number.

The square root of 2685649052025 is 1638795.

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

2685649052025 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 6 + 4 + 90 + 520 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166089666681 + 2519559385344 = 407541^2 + 1587312^2 .

It is not a de Polignac number, because 2685649052025 - 2⁹ = 2685649051513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24527299 + ... + 24636551.

Almost surely, 2^{2685649052025} is an apocalyptic number.

2685649052025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2685649052025 is the 1638795-th square number.

2685649052025 is the 819398-th centered octagonal number.

It is an amenable number.

2685649052025 is a deficient number, since it is larger than the sum of its proper divisors (2124690834964).

2685649052025 is an frugal number, since it uses more digits than its factorization.

2685649052025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218522 (or 109261 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2685649052025 in words is "two trillion, six hundred eighty-five billion, six hundred forty-nine million, fifty-two thousand, twenty-five".