1005203525 has 12 divisors (see below), whose sum is σ = 1253662692. Its totient is φ = 799511040.

The previous prime is 1005203509. The next prime is 1005203543. The reversal of 1005203525 is 5253025001.

1005203525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 693889 + 1004509636 = 833^2 + 31694^2 .

It is not a de Polignac number, because 1005203525 - 2⁴ = 1005203509 is a prime.

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 1005203525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111884 + ... + 120533.

It is an arithmetic number, because the mean of its divisors is an integer number (104471891).

Almost surely, 2^1005203525 is an apocalyptic number.

It is an amenable number.

1005203525 is a deficient number, since it is larger than the sum of its proper divisors (248459167).

1005203525 is a wasteful number, since it uses less digits than its factorization.

1005203525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232600 (or 232595 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1005203525 is about 31704.9448036107. The cubic root of 1005203525 is about 1001.7315084813.

Adding to 1005203525 its reverse (5253025001), we get a palindrome (6258228526).

The spelling of 1005203525 in words is "one billion, five million, two hundred three thousand, five hundred twenty-five".