10213125 has 40 divisors (see below), whose sum is σ = 18369120. Its totient is φ = 5016000.

The previous prime is 10213109. The next prime is 10213129. The reversal of 10213125 is 52131201.

It is not a de Polignac number, because 10213125 - 2⁴ = 10213109 is a prime.

It is a super-3 number, since 3×10213125³ (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213129) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 24166 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (459228).

Almost surely, 2^10213125 is an apocalyptic number.

10213125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10213125 is a deficient number, since it is larger than the sum of its proper divisors (8155995).

10213125 is an equidigital number, since it uses as much as digits as its factorization.

10213125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10213125 is about 3195.7980224038. The cubic root of 10213125 is about 216.9632689994.

Adding to 10213125 its reverse (52131201), we get a palindrome (62344326).

The spelling of 10213125 in words is "ten million, two hundred thirteen thousand, one hundred twenty-five".