517272593 has 2 divisors, whose sum is σ = 517272594. Its totient is φ = 517272592.

The previous prime is 517272571. The next prime is 517272601. The reversal of 517272593 is 395272715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287234704 + 230037889 = 16948^2 + 15167^2 .

It is a cyclic number.

It is not a de Polignac number, because 517272593 - 2¹⁶ = 517207057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 517272593.

It is not a weakly prime, because it can be changed into another prime (517272533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258636296 + 258636297.

It is an arithmetic number, because the mean of its divisors is an integer number (258636297).

Almost surely, 2^517272593 is an apocalyptic number.

It is an amenable number.

517272593 is a deficient number, since it is larger than the sum of its proper divisors (1).

517272593 is an equidigital number, since it uses as much as digits as its factorization.

517272593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 132300, while the sum is 41.

The square root of 517272593 is about 22743.6275250893. The cubic root of 517272593 is about 802.7367691298.

The spelling of 517272593 in words is "five hundred seventeen million, two hundred seventy-two thousand, five hundred ninety-three".