513051305 has 8 divisors (see below), whose sum is σ = 663020232. Its totient is φ = 378868608.

The previous prime is 513051293. The next prime is 513051307. The reversal of 513051305 is 503150315.

It can be written as a sum of positive squares in 4 ways, for example, as 8779369 + 504271936 = 2963^2 + 22456^2 .

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 513051305 - 2⁶ = 513051241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513051307) 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, 3946484 + ... + 3946613.

It is an arithmetic number, because the mean of its divisors is an integer number (82877529).

Almost surely, 2^513051305 is an apocalyptic number.

It is an amenable number.

513051305 is a deficient number, since it is larger than the sum of its proper divisors (149968927).

513051305 is a wasteful number, since it uses less digits than its factorization.

513051305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893115.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 513051305 is about 22650.6358630393. The cubic root of 513051305 is about 800.5471803443.

The spelling of 513051305 in words is "five hundred thirteen million, fifty-one thousand, three hundred five".