1005132097 has 12 divisors (see below), whose sum is σ = 1037418300. Its totient is φ = 973792640.

The previous prime is 1005132071. The next prime is 1005132113. The reversal of 1005132097 is 7902315001.

1005132097 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 316804401 + 688327696 = 17799^2 + 26236^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1005132097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005130097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248463 + ... + 252475.

It is an arithmetic number, because the mean of its divisors is an integer number (86451525).

Almost surely, 2^1005132097 is an apocalyptic number.

It is an amenable number.

1005132097 is a deficient number, since it is larger than the sum of its proper divisors (32286203).

1005132097 is an equidigital number, since it uses as much as digits as its factorization.

1005132097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 1005132097 is about 31703.8183347054. The cubic root of 1005132097 is about 1001.7077808244.

Adding to 1005132097 its reverse (7902315001), we get a palindrome (8907447098).

The spelling of 1005132097 in words is "one billion, five million, one hundred thirty-two thousand, ninety-seven".