513147071 has 2 divisors, whose sum is σ = 513147072. Its totient is φ = 513147070.

The previous prime is 513147031. The next prime is 513147073. The reversal of 513147071 is 170741315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513147071 - 2¹⁴ = 513130687 is a prime.

Together with 513147073, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513147073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256573535 + 256573536.

It is an arithmetic number, because the mean of its divisors is an integer number (256573536).

Almost surely, 2^513147071 is an apocalyptic number.

513147071 is a deficient number, since it is larger than the sum of its proper divisors (1).

513147071 is an equidigital number, since it uses as much as digits as its factorization.

513147071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 513147071 is about 22652.7497447882. The cubic root of 513147071 is about 800.5969872095.

Adding to 513147071 its reverse (170741315), we get a palindrome (683888386).

It can be divided in two parts, 51314 and 7071, that added together give a palindrome (58385).

The spelling of 513147071 in words is "five hundred thirteen million, one hundred forty-seven thousand, seventy-one".