513023993 has 8 divisors (see below), whose sum is σ = 539547648. Its totient is φ = 486851904.

The previous prime is 513023983. The next prime is 513024049. The reversal of 513023993 is 399320315.

It is a happy number.

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 513023993 - 2⁸ = 513023737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513023933) 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, 84896 + ... + 90737.

It is an arithmetic number, because the mean of its divisors is an integer number (67443456).

Almost surely, 2^513023993 is an apocalyptic number.

It is an amenable number.

513023993 is a deficient number, since it is larger than the sum of its proper divisors (26523655).

513023993 is a wasteful number, since it uses less digits than its factorization.

513023993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175783.

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 513023993 is about 22650.0329580334. The cubic root of 513023993 is about 800.5329745313.

The spelling of 513023993 in words is "five hundred thirteen million, twenty-three thousand, nine hundred ninety-three".