513585361 has 2 divisors, whose sum is σ = 513585362. Its totient is φ = 513585360.

The previous prime is 513585353. The next prime is 513585431. The reversal of 513585361 is 163585315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324000000 + 189585361 = 18000^2 + 13769^2 .

It is a cyclic number.

It is not a de Polignac number, because 513585361 - 2³ = 513585353 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513585361.

It is not a weakly prime, because it can be changed into another prime (513585461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256792680 + 256792681.

It is an arithmetic number, because the mean of its divisors is an integer number (256792681).

Almost surely, 2^513585361 is an apocalyptic number.

It is an amenable number.

513585361 is a deficient number, since it is larger than the sum of its proper divisors (1).

513585361 is an equidigital number, since it uses as much as digits as its factorization.

513585361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54000, while the sum is 37.

The square root of 513585361 is about 22662.4217814425. The cubic root of 513585361 is about 800.8248580733.

The spelling of 513585361 in words is "five hundred thirteen million, five hundred eighty-five thousand, three hundred sixty-one".