513210023 has 8 divisors (see below), whose sum is σ = 516048000. Its totient is φ = 510380280.

The previous prime is 513210011. The next prime is 513210037. The reversal of 513210023 is 320012315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513210023 - 2¹⁶ = 513144487 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513209983 and 513210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513210073) 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 7 ways as a sum of consecutive naturals, for example, 153536 + ... + 156842.

It is an arithmetic number, because the mean of its divisors is an integer number (64506000).

Almost surely, 2^513210023 is an apocalyptic number.

513210023 is a deficient number, since it is larger than the sum of its proper divisors (2837977).

513210023 is a wasteful number, since it uses less digits than its factorization.

513210023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 513210023 is about 22654.1392023621. The cubic root of 513210023 is about 800.6297244913.

Adding to 513210023 its reverse (320012315), we get a palindrome (833222338).

The spelling of 513210023 in words is "five hundred thirteen million, two hundred ten thousand, twenty-three".