200824978225 has 9 divisors (see below), whose sum is σ = 249025751467. Its totient is φ = 160658190040.

The previous prime is 200824978223. The next prime is 200824978253. The reversal of 200824978225 is 522879428002.

The square root of 200824978225 is 448135.

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

It can be written as a sum of positive squares in only one way, i.e., 72296992161 + 128527986064 = 268881^2 + 358508^2 .

It is not a de Polignac number, because 200824978225 - 2¹ = 200824978223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200824978223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2195862 + ... + 2285488.

Almost surely, 2^200824978225 is an apocalyptic number.

200824978225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200824978225 is the 448135-th square number.

200824978225 is the 224068-th centered octagonal number.

It is an amenable number.

200824978225 is a deficient number, since it is larger than the sum of its proper divisors (48200773242).

200824978225 is an frugal number, since it uses more digits than its factorization.

200824978225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179264 (or 89632 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 200824978225 by its sum of digits (49), we get a square (9840423933025 = 3136945²).

The spelling of 200824978225 in words is "two hundred billion, eight hundred twenty-four million, nine hundred seventy-eight thousand, two hundred twenty-five".