513350013 has 8 divisors (see below), whose sum is σ = 746690976. Its totient is φ = 311121200.

The previous prime is 513350009. The next prime is 513350021. The reversal of 513350013 is 310053315.

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 513350013 - 2² = 513350009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513350023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7777998 + ... + 7778063.

It is an arithmetic number, because the mean of its divisors is an integer number (93336372).

Almost surely, 2^513350013 is an apocalyptic number.

It is an amenable number.

513350013 is a deficient number, since it is larger than the sum of its proper divisors (233340963).

513350013 is a wasteful number, since it uses less digits than its factorization.

513350013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15556075.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 513350013 is about 22657.2287140330. The cubic root of 513350013 is about 800.7025146817.

The spelling of 513350013 in words is "five hundred thirteen million, three hundred fifty thousand, thirteen".