513305765 has 8 divisors (see below), whose sum is σ = 703962240. Its totient is φ = 351981072.

The previous prime is 513305759. The next prime is 513305783. The reversal of 513305765 is 567503315.

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 513305765 - 2¹⁶ = 513240229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 14665879 = 513305765 / (5 + 1 + 3 + 3 + 0 + 5 + 7 + 6 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7332905 + ... + 7332974.

It is an arithmetic number, because the mean of its divisors is an integer number (87995280).

Almost surely, 2^513305765 is an apocalyptic number.

It is an amenable number.

513305765 is a deficient number, since it is larger than the sum of its proper divisors (190656475).

513305765 is a wasteful number, since it uses less digits than its factorization.

513305765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665891.

The product of its (nonzero) digits is 47250, while the sum is 35.

The square root of 513305765 is about 22656.2522275861. The cubic root of 513305765 is about 800.6795086092.

The spelling of 513305765 in words is "five hundred thirteen million, three hundred five thousand, seven hundred sixty-five".