1006315413 has 16 divisors (see below), whose sum is σ = 1349136000. Its totient is φ = 667197440.

The previous prime is 1006315403. The next prime is 1006315463. The reversal of 1006315413 is 3145136001.

It is a cyclic number.

It is not a de Polignac number, because 1006315413 - 2²⁶ = 939206549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006315403) 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, 482533 + ... + 484613.

It is an arithmetic number, because the mean of its divisors is an integer number (84321000).

Almost surely, 2^1006315413 is an apocalyptic number.

It is an amenable number.

1006315413 is a deficient number, since it is larger than the sum of its proper divisors (342820587).

1006315413 is a wasteful number, since it uses less digits than its factorization.

1006315413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1006315413 is about 31722.4748876881. The cubic root of 1006315413 is about 1002.1007215455.

The spelling of 1006315413 in words is "one billion, six million, three hundred fifteen thousand, four hundred thirteen".