513638343 has 24 divisors (see below), whose sum is σ = 807908400. Its totient is φ = 313213824.

The previous prime is 513638339. The next prime is 513638347. The reversal of 513638343 is 343836315.

513638343 is a `hidden beast` number, since 5 + 13 + 638 + 3 + 4 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (513638339) and next prime (513638347).

It is not a de Polignac number, because 513638343 - 2² = 513638339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513638298 and 513638307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513638347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46830 + ... + 56747.

It is an arithmetic number, because the mean of its divisors is an integer number (33662850).

Almost surely, 2^513638343 is an apocalyptic number.

513638343 is a deficient number, since it is larger than the sum of its proper divisors (294270057).

513638343 is a wasteful number, since it uses less digits than its factorization.

513638343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103631 (or 103628 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 513638343 is about 22663.5906907974. The cubic root of 513638343 is about 800.8523951015.

The spelling of 513638343 in words is "five hundred thirteen million, six hundred thirty-eight thousand, three hundred forty-three".