1009052513 has 16 divisors (see below), whose sum is σ = 1215507840. Its totient is φ = 818294400.

The previous prime is 1009052483. The next prime is 1009052563. The reversal of 1009052513 is 3152509001.

1009052513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1009052513 - 2⁸ = 1009052257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1009052563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104573 + ... + 113813.

It is an arithmetic number, because the mean of its divisors is an integer number (75969240).

Almost surely, 2^1009052513 is an apocalyptic number.

It is an amenable number.

1009052513 is a deficient number, since it is larger than the sum of its proper divisors (206455327).

1009052513 is an equidigital number, since it uses as much as digits as its factorization.

1009052513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 1009052513 is about 31765.5869298837. The cubic root of 1009052513 is about 1003.0084445187.

The spelling of 1009052513 in words is "one billion, nine million, fifty-two thousand, five hundred thirteen".