513220993 has 2 divisors, whose sum is σ = 513220994. Its totient is φ = 513220992.

The previous prime is 513220991. The next prime is 513221017. The reversal of 513220993 is 399022315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 511800129 + 1420864 = 22623^2 + 1192^2 .

It is a cyclic number.

It is not a de Polignac number, because 513220993 - 2¹ = 513220991 is a prime.

Together with 513220991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (513220991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256610496 + 256610497.

It is an arithmetic number, because the mean of its divisors is an integer number (256610497).

Almost surely, 2^513220993 is an apocalyptic number.

It is an amenable number.

513220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

513220993 is an equidigital number, since it uses as much as digits as its factorization.

513220993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 513220993 is about 22654.3813201773. The cubic root of 513220993 is about 800.6354290080.

The spelling of 513220993 in words is "five hundred thirteen million, two hundred twenty thousand, nine hundred ninety-three".