13203125 has 24 divisors (see below), whose sum is σ = 17871048. Its totient is φ = 9750000.

The previous prime is 13203103. The next prime is 13203139. The reversal of 13203125 is 52130231.

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 12 ways, for example, as 1085764 + 12117361 = 1042^2 + 3481^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13203125 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015619 + ... + 1015631.

It is an arithmetic number, because the mean of its divisors is an integer number (744627).

Almost surely, 2^13203125 is an apocalyptic number.

It is an amenable number.

13203125 is a deficient number, since it is larger than the sum of its proper divisors (4667923).

13203125 is an frugal number, since it uses more digits than its factorization.

13203125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13203125 is about 3633.6104634372. The cubic root of 13203125 is about 236.3517986496.

Multiplying 13203125 by its product of nonzero digits (180), we get a square (2376562500 = 48750²).

Adding to 13203125 its reverse (52130231), we get a palindrome (65333356).

It can be divided in two parts, 13 and 203125, that multiplied together give a square (2640625 = 1625²).

The spelling of 13203125 in words is "thirteen million, two hundred three thousand, one hundred twenty-five".