513853289 has 2 divisors, whose sum is σ = 513853290. Its totient is φ = 513853288.

The previous prime is 513853283. The next prime is 513853321. The reversal of 513853289 is 982358315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512569600 + 1283689 = 22640^2 + 1133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513853289 is a prime.

It is a super-2 number, since 2×513853289² = 528090405232235042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513853283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256926644 + 256926645.

It is an arithmetic number, because the mean of its divisors is an integer number (256926645).

Almost surely, 2^513853289 is an apocalyptic number.

It is an amenable number.

513853289 is a deficient number, since it is larger than the sum of its proper divisors (1).

513853289 is an equidigital number, since it uses as much as digits as its factorization.

513853289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 44.

The square root of 513853289 is about 22668.3322941940. The cubic root of 513853289 is about 800.9640923781.

The spelling of 513853289 in words is "five hundred thirteen million, eight hundred fifty-three thousand, two hundred eighty-nine".