1024016013 has 40 divisors (see below), whose sum is σ = 1593482880. Its totient is φ = 654544800.

The previous prime is 1024015969. The next prime is 1024016017. The reversal of 1024016013 is 3106104201.

It is a happy number.

It is not a de Polignac number, because 1024016013 - 2⁹ = 1024015501 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 (1024016017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353256 + ... + 356142.

It is an arithmetic number, because the mean of its divisors is an integer number (39837072).

Almost surely, 2^1024016013 is an apocalyptic number.

It is an amenable number.

1024016013 is a deficient number, since it is larger than the sum of its proper divisors (569466867).

1024016013 is a wasteful number, since it uses less digits than its factorization.

1024016013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1024016013 is about 32000.2502021469. The cubic root of 1024016013 is about 1007.9420938249.

The spelling of 1024016013 in words is "one billion, twenty-four million, sixteen thousand, thirteen".