513007871 has 16 divisors (see below), whose sum is σ = 536985600. Its totient is φ = 489551040.

The previous prime is 513007843. The next prime is 513007907. The reversal of 513007871 is 178700315.

It is a cyclic number.

It is not a de Polignac number, because 513007871 - 2¹⁴ = 512991487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513007841) 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 in 15 ways as a sum of consecutive naturals, for example, 844850 + ... + 845456.

It is an arithmetic number, because the mean of its divisors is an integer number (33561600).

Almost surely, 2^513007871 is an apocalyptic number.

513007871 is a deficient number, since it is larger than the sum of its proper divisors (23977729).

513007871 is a wasteful number, since it uses less digits than its factorization.

513007871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 513007871 is about 22649.6770617155. The cubic root of 513007871 is about 800.5245887456.

The spelling of 513007871 in words is "five hundred thirteen million, seven thousand, eight hundred seventy-one".