1003132005 has 48 divisors (see below), whose sum is σ = 1779283584. Its totient is φ = 481592320.

The previous prime is 1003132001. The next prime is 1003132019. The reversal of 1003132005 is 5002313001.

It is a happy number.

It is not a de Polignac number, because 1003132005 - 2² = 1003132001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003132001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94675 + ... + 104735.

It is an arithmetic number, because the mean of its divisors is an integer number (37068408).

Almost surely, 2^1003132005 is an apocalyptic number.

1003132005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003132005 is a deficient number, since it is larger than the sum of its proper divisors (776151579).

1003132005 is a wasteful number, since it uses less digits than its factorization.

1003132005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1003132005 is about 31672.2592342258. The cubic root of 1003132005 is about 1001.0429136197.

Adding to 1003132005 its reverse (5002313001), we get a palindrome (6005445006).

The spelling of 1003132005 in words is "one billion, three million, one hundred thirty-two thousand, five".