10201825 has 24 divisors (see below), whose sum is σ = 13358520. Its totient is φ = 7718400.

The previous prime is 10201817. The next prime is 10201831. The reversal of 10201825 is 52810201.

10201825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5779216 + 4422609 = 2404^2 + 2103^2 .

It is not a de Polignac number, because 10201825 - 2³ = 10201817 is a prime.

It is a super-3 number, since 3×10201825³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37791 + ... + 38059.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^10201825 is an apocalyptic number.

It is an amenable number.

10201825 is a deficient number, since it is larger than the sum of its proper divisors (3156695).

10201825 is a wasteful number, since it uses less digits than its factorization.

10201825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10201825 is about 3194.0295865881. The cubic root of 10201825 is about 216.8832220111.

It can be divided in two parts, 10201 and 825, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10201825 in words is "ten million, two hundred one thousand, eight hundred twenty-five".