203125000 has 80 divisors (see below), whose sum is σ = 512695260. Its totient is φ = 75000000.

The previous prime is 203124997. The next prime is 203125031. The reversal of 203125000 is 521302.

It can be written as a sum of positive squares in 10 ways, for example, as 91738084 + 111386916 = 9578^2 + 10554^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15624994 + ... + 15625006.

Almost surely, 2^203125000 is an apocalyptic number.

203125000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256347630).

203125000 is an abundant number, since it is smaller than the sum of its proper divisors (309570260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203125000 is an frugal number, since it uses more digits than its factorization.

203125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 203125000 is about 14252.1928137392. The cubic root of 203125000 is about 587.8336719302.

203125000 divided by its sum of digits (13) gives a cube (15625000 = 250³).

Adding to 203125000 its reverse (521302), we get a palindrome (203646302).

The spelling of 203125000 in words is "two hundred three million, one hundred twenty-five thousand".