513033965 has 8 divisors (see below), whose sum is σ = 616605048. Its totient is φ = 409784320.

The previous prime is 513033949. The next prime is 513033977. The reversal of 513033965 is 569330315.

It can be written as a sum of positive squares in 4 ways, for example, as 137992009 + 375041956 = 11747^2 + 19366^2 .

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

It is not a de Polignac number, because 513033965 - 2⁴ = 513033949 is a prime.

It is a Duffinian number.

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, 76832 + ... + 83241.

It is an arithmetic number, because the mean of its divisors is an integer number (77075631).

Almost surely, 2^513033965 is an apocalyptic number.

It is an amenable number.

513033965 is a deficient number, since it is larger than the sum of its proper divisors (103571083).

513033965 is a wasteful number, since it uses less digits than its factorization.

513033965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160719.

The product of its (nonzero) digits is 36450, while the sum is 35.

The square root of 513033965 is about 22650.2530890937. The cubic root of 513033965 is about 800.5381613343.

The spelling of 513033965 in words is "five hundred thirteen million, thirty-three thousand, nine hundred sixty-five".