200900825 has 12 divisors (see below), whose sum is σ = 249319980. Its totient is φ = 160589760.

The previous prime is 200900809. The next prime is 200900831. The reversal of 200900825 is 528009002.

It can be written as a sum of positive squares in 6 ways, for example, as 1893376 + 199007449 = 1376^2 + 14107^2 .

It is not a de Polignac number, because 200900825 - 2⁴ = 200900809 is a prime.

It is a super-2 number, since 2×200900825² = 80722282971361250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200900794 and 200900803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38471 + ... + 43379.

It is an arithmetic number, because the mean of its divisors is an integer number (20776665).

Almost surely, 2^200900825 is an apocalyptic number.

200900825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200900825 is a deficient number, since it is larger than the sum of its proper divisors (48419155).

200900825 is a wasteful number, since it uses less digits than its factorization.

200900825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 200900825 is about 14173.9488146388. The cubic root of 200900825 is about 585.6802421362.

Adding to 200900825 its reverse (528009002), we get a palindrome (728909827).

The spelling of 200900825 in words is "two hundred million, nine hundred thousand, eight hundred twenty-five".