1005133125 has 40 divisors (see below), whose sum is σ = 1679287456. Its totient is φ = 534600000.

The previous prime is 1005133123. The next prime is 1005133141. The reversal of 1005133125 is 5213315001.

It is not a de Polignac number, because 1005133125 - 2¹ = 1005133123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1238970 + ... + 1239780.

Almost surely, 2^1005133125 is an apocalyptic number.

1005133125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005133125 is a deficient number, since it is larger than the sum of its proper divisors (674154331).

1005133125 is an frugal number, since it uses more digits than its factorization.

1005133125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1005133125 is about 31703.8345472594. The cubic root of 1005133125 is about 1001.7081223235.

Adding to 1005133125 its reverse (5213315001), we get a palindrome (6218448126).

The spelling of 1005133125 in words is "one billion, five million, one hundred thirty-three thousand, one hundred twenty-five".