513004351331 has 2 divisors, whose sum is σ = 513004351332. Its totient is φ = 513004351330.

The previous prime is 513004351313. The next prime is 513004351369. The reversal of 513004351331 is 133153400315.

Together with previous prime (513004351313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513004351331 - 2⁶ = 513004351267 is a prime.

It is a super-2 number, since 2×513004351331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513004351294 and 513004351303.

It is not a weakly prime, because it can be changed into another prime (513004351031) 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 as a sum of consecutive naturals, namely, 256502175665 + 256502175666.

It is an arithmetic number, because the mean of its divisors is an integer number (256502175666).

Almost surely, 2^513004351331 is an apocalyptic number.

513004351331 is a deficient number, since it is larger than the sum of its proper divisors (1).

513004351331 is an equidigital number, since it uses as much as digits as its factorization.

513004351331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 513004351331 its reverse (133153400315), we get a palindrome (646157751646).

The spelling of 513004351331 in words is "five hundred thirteen billion, four million, three hundred fifty-one thousand, three hundred thirty-one".