1006436013 has 48 divisors (see below), whose sum is σ = 1510275648. Its totient is φ = 595584000.

The previous prime is 1006435999. The next prime is 1006436069. The reversal of 1006436013 is 3106346001.

It is not a de Polignac number, because 1006436013 - 2¹⁴ = 1006419629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006436083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3556170 + ... + 3556452.

It is an arithmetic number, because the mean of its divisors is an integer number (31464076).

Almost surely, 2^1006436013 is an apocalyptic number.

It is an amenable number.

1006436013 is a deficient number, since it is larger than the sum of its proper divisors (503839635).

1006436013 is a wasteful number, since it uses less digits than its factorization.

1006436013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1006436013 is about 31724.3756912567. The cubic root of 1006436013 is about 1002.1407515791.

The spelling of 1006436013 in words is "one billion, six million, four hundred thirty-six thousand, thirteen".