513313919 has 4 divisors (see below), whose sum is σ = 525251496. Its totient is φ = 501376344.

The previous prime is 513313901. The next prime is 513313921. The reversal of 513313919 is 919313315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 919313315 = 5 ⋅183862663.

It is a cyclic number.

It is not a de Polignac number, because 513313919 - 2¹⁶ = 513248383 is a prime.

It is a super-2 number, since 2×513313919² = 526982358878277122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513313939) 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 3 ways as a sum of consecutive naturals, for example, 5968724 + ... + 5968809.

It is an arithmetic number, because the mean of its divisors is an integer number (131312874).

Almost surely, 2^513313919 is an apocalyptic number.

513313919 is a deficient number, since it is larger than the sum of its proper divisors (11937577).

513313919 is a wasteful number, since it uses less digits than its factorization.

513313919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937576.

The product of its digits is 10935, while the sum is 35.

The square root of 513313919 is about 22656.4321771986. The cubic root of 513313919 is about 800.6837482564.

It can be divided in two parts, 513 and 313919, that added together give a cube (314432 = 68³).

The spelling of 513313919 in words is "five hundred thirteen million, three hundred thirteen thousand, nine hundred nineteen".