10585125 has 36 divisors (see below), whose sum is σ = 19280196. Its totient is φ = 5587200.

The previous prime is 10585123. The next prime is 10585139. The reversal of 10585125 is 52158501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 3944196 + 6640929 = 1986^2 + 2577^2 .

It is not a de Polignac number, because 10585125 - 2¹ = 10585123 is a prime.

It is a super-2 number, since 2×10585125² = 224089742531250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109077 + ... + 109173.

It is an arithmetic number, because the mean of its divisors is an integer number (535561).

Almost surely, 2^10585125 is an apocalyptic number.

10585125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10585125 is a deficient number, since it is larger than the sum of its proper divisors (8695071).

10585125 is an frugal number, since it uses more digits than its factorization.

10585125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 10585125 is about 3253.4789072622. The cubic root of 10585125 is about 219.5661214621.

Multiplying 10585125 by its product of nonzero digits (2000), we get a square (21170250000 = 145500²).

The spelling of 10585125 in words is "ten million, five hundred eighty-five thousand, one hundred twenty-five".