513004351337 has 8 divisors (see below), whose sum is σ = 515081133000. Its totient is φ = 510928827264.

The previous prime is 513004351331. The next prime is 513004351369. The reversal of 513004351337 is 733153400315.

It can be written as a sum of positive squares in 4 ways, for example, as 54859476841 + 458144874496 = 234221^2 + 676864^2 .

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 513004351337 - 2²⁰ = 513003302761 is a prime.

It is a super-2 number, since 2×513004351337² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513004351297 and 513004351306.

It is not an unprimeable number, because it can be changed into a prime (513004351331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507443 + ... + 1132919.

It is an arithmetic number, because the mean of its divisors is an integer number (64385141625).

Almost surely, 2^513004351337 is an apocalyptic number.

It is an amenable number.

513004351337 is a deficient number, since it is larger than the sum of its proper divisors (2076781663).

513004351337 is a wasteful number, since it uses less digits than its factorization.

513004351337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628795.

The product of its (nonzero) digits is 56700, while the sum is 35.

The spelling of 513004351337 in words is "five hundred thirteen billion, four million, three hundred fifty-one thousand, three hundred thirty-seven".