513042633 has 8 divisors (see below), whose sum is σ = 760063200. Its totient is φ = 342028404.

The previous prime is 513042619. The next prime is 513042659. The reversal of 513042633 is 336240315.

It is a happy number.

It is not a de Polignac number, because 513042633 - 2⁵ = 513042601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19001579 = 513042633 / (5 + 1 + 3 + 0 + 4 + 2 + 6 + 3 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513042597 and 513042606.

It is not an unprimeable number, because it can be changed into a prime (513042433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9500763 + ... + 9500816.

It is an arithmetic number, because the mean of its divisors is an integer number (95007900).

Almost surely, 2^513042633 is an apocalyptic number.

It is an amenable number.

513042633 is a deficient number, since it is larger than the sum of its proper divisors (247020567).

513042633 is a wasteful number, since it uses less digits than its factorization.

513042633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19001588 (or 19001582 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 513042633 is about 22650.4444327258. Note that the first 4 decimals coincide. The cubic root of 513042633 is about 800.5426698244.

Adding to 513042633 its reverse (336240315), we get a palindrome (849282948).

The spelling of 513042633 in words is "five hundred thirteen million, forty-two thousand, six hundred thirty-three".