1032035013 has 10 divisors (see below), whose sum is σ = 1541682054. Its totient is φ = 688023288.

The previous prime is 1032034979. The next prime is 1032035033. The reversal of 1032035013 is 3105302301.

It can be written as a sum of positive squares in only one way, i.e., 1013912964 + 18122049 = 31842^2 + 4257^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1032035013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032035033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6370506 + ... + 6370667.

Almost surely, 2^1032035013 is an apocalyptic number.

It is an amenable number.

1032035013 is a deficient number, since it is larger than the sum of its proper divisors (509647041).

1032035013 is an equidigital number, since it uses as much as digits as its factorization.

1032035013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741185 (or 12741176 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1032035013 is about 32125.3017573376. The cubic root of 1032035013 is about 1010.5662977872.

Adding to 1032035013 its reverse (3105302301), we get a palindrome (4137337314).

The spelling of 1032035013 in words is "one billion, thirty-two million, thirty-five thousand, thirteen".