10020825 has 18 divisors (see below), whose sum is σ = 17948814. Its totient is φ = 5344320.

The previous prime is 10020817. The next prime is 10020827. The reversal of 10020825 is 52802001.

It can be written as a sum of positive squares in 3 ways, for example, as 3426201 + 6594624 = 1851^2 + 2568^2 .

It is not a de Polignac number, because 10020825 - 2³ = 10020817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020798 and 10020807.

It is not an unprimeable number, because it can be changed into a prime (10020827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22044 + ... + 22493.

Almost surely, 2^10020825 is an apocalyptic number.

10020825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10020825 is a deficient number, since it is larger than the sum of its proper divisors (7927989).

10020825 is a wasteful number, since it uses less digits than its factorization.

10020825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44553 (or 44545 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10020825 is about 3165.5686692915. The cubic root of 10020825 is about 215.5929189827.

Adding to 10020825 its reverse (52802001), we get a palindrome (62822826).

The spelling of 10020825 in words is "ten million, twenty thousand, eight hundred twenty-five".