205001025 has 48 divisors (see below), whose sum is σ = 350185920. Its totient is φ = 105753600.

The previous prime is 205000997. The next prime is 205001033. The reversal of 205001025 is 520100502.

It is not a de Polignac number, because 205001025 - 2⁷ = 205000897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 205000995 and 205001013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501021 + ... + 501429.

It is an arithmetic number, because the mean of its divisors is an integer number (7295540).

Almost surely, 2^205001025 is an apocalyptic number.

205001025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205001025 is a deficient number, since it is larger than the sum of its proper divisors (145184895).

205001025 is a wasteful number, since it uses less digits than its factorization.

205001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205001025 is about 14317.8568577843. The cubic root of 205001025 is about 589.6378367235.

Adding to 205001025 its reverse (520100502), we get a palindrome (725101527).

The spelling of 205001025 in words is "two hundred five million, one thousand, twenty-five".