1005320513 has 4 divisors (see below), whose sum is σ = 1015684740. Its totient is φ = 994956288.

The previous prime is 1005320489. The next prime is 1005320579. The reversal of 1005320513 is 3150235001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 662959504 + 342361009 = 25748^2 + 18503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005320513 - 2¹⁶ = 1005254977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005320713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5181968 + ... + 5182161.

It is an arithmetic number, because the mean of its divisors is an integer number (253921185).

Almost surely, 2^1005320513 is an apocalyptic number.

It is an amenable number.

1005320513 is a deficient number, since it is larger than the sum of its proper divisors (10364227).

1005320513 is an equidigital number, since it uses as much as digits as its factorization.

1005320513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364226.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1005320513 is about 31706.7896987380. The cubic root of 1005320513 is about 1001.7703682799.

Adding to 1005320513 its reverse (3150235001), we get a palindrome (4155555514).

The spelling of 1005320513 in words is "one billion, five million, three hundred twenty thousand, five hundred thirteen".