20803735225 has 81 divisors (see below), whose sum is σ = 32597052327. Its totient is φ = 13126538880.

The previous prime is 20803735213. The next prime is 20803735241. The reversal of 20803735225 is 52253730802.

It is a happy number.

The square root of 20803735225 is 144235.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19060839721 + 1742895504 = 138061^2 + 41748^2 .

It is not a de Polignac number, because 20803735225 - 2⁹ = 20803734713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65626767 + ... + 65627083.

Almost surely, 2^20803735225 is an apocalyptic number.

20803735225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20803735225 is the 144235-th square number.

20803735225 is the 72118-th centered octagonal number.

It is an amenable number.

20803735225 is a deficient number, since it is larger than the sum of its proper divisors (11793317102).

20803735225 is an equidigital number, since it uses as much as digits as its factorization.

20803735225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 20803735225 in words is "twenty billion, eight hundred three million, seven hundred thirty-five thousand, two hundred twenty-five".