509733073 has 2 divisors, whose sum is σ = 509733074. Its totient is φ = 509733072.

The previous prime is 509733067. The next prime is 509733079. The reversal of 509733073 is 370337905.

It is a balanced prime because it is at equal distance from previous prime (509733067) and next prime (509733079).

It can be written as a sum of positive squares in only one way, i.e., 447449409 + 62283664 = 21153^2 + 7892^2 .

It is a cyclic number.

It is not a de Polignac number, because 509733073 - 2⁵ = 509733041 is a prime.

It is not a weakly prime, because it can be changed into another prime (509733079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254866536 + 254866537.

It is an arithmetic number, because the mean of its divisors is an integer number (254866537).

Almost surely, 2^509733073 is an apocalyptic number.

It is an amenable number.

509733073 is a deficient number, since it is larger than the sum of its proper divisors (1).

509733073 is an equidigital number, since it uses as much as digits as its factorization.

509733073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59535, while the sum is 37.

The square root of 509733073 is about 22577.2689446709. The cubic root of 509733073 is about 798.8175620157.

The spelling of 509733073 in words is "five hundred nine million, seven hundred thirty-three thousand, seventy-three".