1005313 has 2 divisors, whose sum is σ = 1005314. Its totient is φ = 1005312.

The previous prime is 1005293. The next prime is 1005317. The reversal of 1005313 is 3135001.

1005313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 804609 + 200704 = 897^2 + 448^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005313 - 2¹³ = 997121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005293 and 1005302.

It is not a weakly prime, because it can be changed into another prime (1005317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502656 + 502657.

It is an arithmetic number, because the mean of its divisors is an integer number (502657).

2^1005313 is an apocalyptic number.

It is an amenable number.

1005313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005313 is an equidigital number, since it uses as much as digits as its factorization.

1005313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1005313 is about 1002.6529808463. The cubic root of 1005313 is about 100.1767872784.

The spelling of 1005313 in words is "one million, five thousand, three hundred thirteen".