513775321 has 2 divisors, whose sum is σ = 513775322. Its totient is φ = 513775320.

The previous prime is 513775291. The next prime is 513775331. The reversal of 513775321 is 123577315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379470400 + 134304921 = 19480^2 + 11589^2 .

It is a cyclic number.

It is not a de Polignac number, because 513775321 - 2¹³ = 513767129 is a prime.

It is not a weakly prime, because it can be changed into another prime (513775331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256887660 + 256887661.

It is an arithmetic number, because the mean of its divisors is an integer number (256887661).

Almost surely, 2^513775321 is an apocalyptic number.

It is an amenable number.

513775321 is a deficient number, since it is larger than the sum of its proper divisors (1).

513775321 is an equidigital number, since it uses as much as digits as its factorization.

513775321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22050, while the sum is 34.

The square root of 513775321 is about 22666.6124729744. The cubic root of 513775321 is about 800.9235796945.

The spelling of 513775321 in words is "five hundred thirteen million, seven hundred seventy-five thousand, three hundred twenty-one".