1003305625 has 45 divisors (see below), whose sum is σ = 1466523531. Its totient is φ = 684180000.

The previous prime is 1003305617. The next prime is 1003305631. The reversal of 1003305625 is 5265033001.

It is a happy number.

The square root of 1003305625 is 31675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 971631241 + 31674384 = 31171^2 + 5628^2 .

It is not a de Polignac number, because 1003305625 - 2³ = 1003305617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003305625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5543035 + ... + 5543215.

Almost surely, 2^1003305625 is an apocalyptic number.

1003305625 is the 31675-th square number.

1003305625 is the 15838-th centered octagonal number.

It is an amenable number.

1003305625 is a deficient number, since it is larger than the sum of its proper divisors (463217906).

1003305625 is an frugal number, since it uses more digits than its factorization.

1003305625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The cubic root of 1003305625 is about 1001.1006630963.

Multiplying 1003305625 by its sum of digits (25), we get a square (25082640625 = 158375²).

1003305625 divided by its sum of digits (25) gives a square (40132225 = 6335²).

Adding to 1003305625 its reverse (5265033001), we get a palindrome (6268338626).

The spelling of 1003305625 in words is "one billion, three million, three hundred five thousand, six hundred twenty-five".