20884585225 has 27 divisors (see below), whose sum is σ = 30132246357. Its totient is φ = 14317390080.

The previous prime is 20884585223. The next prime is 20884585237. The reversal of 20884585225 is 52258548802.

The square root of 20884585225 is 144515.

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 163558521 + 20721026704 = 12789^2 + 143948^2 .

It is not a de Polignac number, because 20884585225 - 2¹ = 20884585223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20884585223) 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, 5055961 + ... + 5060089.

Almost surely, 2^20884585225 is an apocalyptic number.

20884585225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20884585225 is the 144515-th square number.

20884585225 is the 72258-th centered octagonal number.

It is an amenable number.

20884585225 is a deficient number, since it is larger than the sum of its proper divisors (9247661132).

20884585225 is an frugal number, since it uses more digits than its factorization.

20884585225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 49.

Multiplying 20884585225 by its sum of digits (49), we get a square (1023344676025 = 1011605²).

20884585225 divided by its sum of digits (49) gives a square (426216025 = 20645²).

The spelling of 20884585225 in words is "twenty billion, eight hundred eighty-four million, five hundred eighty-five thousand, two hundred twenty-five".