513340606043315 has 8 divisors (see below), whose sum is σ = 616337967630528. Its totient is φ = 410452991248960.

The previous prime is 513340606043267. The next prime is 513340606043393.

It is a happy number.

513340606043315 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 513340606043315 - 2³⁴ = 513323426174131 is a prime.

It is a super-3 number, since 3×513340606043315³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27436687922 + ... + 27436706631.

It is an arithmetic number, because the mean of its divisors is an integer number (77042245953816).

Almost surely, 2^{513340606043315} is an apocalyptic number.

513340606043315 is a deficient number, since it is larger than the sum of its proper divisors (102997361587213).

513340606043315 is a wasteful number, since it uses less digits than its factorization.

513340606043315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54873396429.

The product of its (nonzero) digits is 1166400, while the sum is 44.

It can be divided in two parts, 51334060 and 6043315, that added together give a palindrome (57377375).

The spelling of 513340606043315 in words is "five hundred thirteen trillion, three hundred forty billion, six hundred six million, forty-three thousand, three hundred fifteen".