513384257 has 2 divisors, whose sum is σ = 513384258. Its totient is φ = 513384256.

The previous prime is 513384229. The next prime is 513384259. The reversal of 513384257 is 752483315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 501715201 + 11669056 = 22399^2 + 3416^2 .

It is a cyclic number.

It is not a de Polignac number, because 513384257 - 2²⁶ = 446275393 is a prime.

Together with 513384259, it forms a pair of twin primes.

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 513384257.

It is not a weakly prime, because it can be changed into another prime (513384259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256692128 + 256692129.

It is an arithmetic number, because the mean of its divisors is an integer number (256692129).

Almost surely, 2^513384257 is an apocalyptic number.

It is an amenable number.

513384257 is a deficient number, since it is larger than the sum of its proper divisors (1).

513384257 is an equidigital number, since it uses as much as digits as its factorization.

513384257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 38.

The square root of 513384257 is about 22657.9843984411. The cubic root of 513384257 is about 800.7203184196.

The spelling of 513384257 in words is "five hundred thirteen million, three hundred eighty-four thousand, two hundred fifty-seven".