513345320381 has 2 divisors, whose sum is σ = 513345320382. Its totient is φ = 513345320380.

The previous prime is 513345320321. The next prime is 513345320387. The reversal of 513345320381 is 183023543315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 473469224281 + 39876096100 = 688091^2 + 199690^2 .

It is a cyclic number.

It is not a de Polignac number, because 513345320381 - 2¹⁴ = 513345303997 is a prime.

It is a super-2 number, since 2×513345320381² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513345320387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256672660190 + 256672660191.

It is an arithmetic number, because the mean of its divisors is an integer number (256672660191).

Almost surely, 2^513345320381 is an apocalyptic number.

It is an amenable number.

513345320381 is a deficient number, since it is larger than the sum of its proper divisors (1).

513345320381 is an equidigital number, since it uses as much as digits as its factorization.

513345320381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 513345320381 its reverse (183023543315), we get a palindrome (696368863696).

The spelling of 513345320381 in words is "five hundred thirteen billion, three hundred forty-five million, three hundred twenty thousand, three hundred eighty-one".