513311313 has 8 divisors (see below), whose sum is σ = 684589408. Its totient is φ = 342120384.

The previous prime is 513311303. The next prime is 513311333. The reversal of 513311313 is 313113315.

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

It is not a de Polignac number, because 513311313 - 2¹² = 513307217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513311313.

It is not an unprimeable number, because it can be changed into a prime (513311303) 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, 6520 + ... + 32697.

It is an arithmetic number, because the mean of its divisors is an integer number (85573676).

Almost surely, 2^513311313 is an apocalyptic number.

It is an amenable number.

513311313 is a deficient number, since it is larger than the sum of its proper divisors (171278095).

513311313 is a wasteful number, since it uses less digits than its factorization.

513311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43583.

The product of its digits is 405, while the sum is 21.

The square root of 513311313 is about 22656.3746658639. The cubic root of 513311313 is about 800.6823932796.

Adding to 513311313 its reverse (313113315), we get a palindrome (826424628).

The spelling of 513311313 in words is "five hundred thirteen million, three hundred eleven thousand, three hundred thirteen".