1005873133 has 2 divisors, whose sum is σ = 1005873134. Its totient is φ = 1005873132.

The previous prime is 1005873073. The next prime is 1005873227. The reversal of 1005873133 is 3313785001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 938993449 + 66879684 = 30643^2 + 8178^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005873133 - 2¹³ = 1005864941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005873095 and 1005873104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005876133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502936566 + 502936567.

It is an arithmetic number, because the mean of its divisors is an integer number (502936567).

Almost surely, 2^1005873133 is an apocalyptic number.

It is an amenable number.

1005873133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005873133 is an equidigital number, since it uses as much as digits as its factorization.

1005873133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1005873133 is about 31715.5030387349. The cubic root of 1005873133 is about 1001.9538908242.

The spelling of 1005873133 in words is "one billion, five million, eight hundred seventy-three thousand, one hundred thirty-three".