513513153343 has 32 divisors (see below), whose sum is σ = 573002118144. Its totient is φ = 457700931072.

The previous prime is 513513153317. The next prime is 513513153379. The reversal of 513513153343 is 343351315315.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 513513153343 - 2³⁷ = 376074199871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513513153443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110740221 + ... + 110744857.

It is an arithmetic number, because the mean of its divisors is an integer number (17906316192).

Almost surely, 2^513513153343 is an apocalyptic number.

513513153343 is a deficient number, since it is larger than the sum of its proper divisors (59488964801).

513513153343 is a wasteful number, since it uses less digits than its factorization.

513513153343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431.

The product of its digits is 121500, while the sum is 37.

Adding to 513513153343 its reverse (343351315315), we get a palindrome (856864468658).

The spelling of 513513153343 in words is "five hundred thirteen billion, five hundred thirteen million, one hundred fifty-three thousand, three hundred forty-three".