1005137233 has 2 divisors, whose sum is σ = 1005137234. Its totient is φ = 1005137232.

The previous prime is 1005137207. The next prime is 1005137239. The reversal of 1005137233 is 3327315001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994267024 + 10870209 = 31532^2 + 3297^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005137233 - 2⁹ = 1005136721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005137198 and 1005137207.

It is not a weakly prime, because it can be changed into another prime (1005137239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502568616 + 502568617.

It is an arithmetic number, because the mean of its divisors is an integer number (502568617).

Almost surely, 2^1005137233 is an apocalyptic number.

It is an amenable number.

1005137233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005137233 is an equidigital number, since it uses as much as digits as its factorization.

1005137233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 1005137233 is about 31703.8993343090. The cubic root of 1005137233 is about 1001.7094869890.

The spelling of 1005137233 in words is "one billion, five million, one hundred thirty-seven thousand, two hundred thirty-three".