513323003542381 has 2 divisors, whose sum is σ = 513323003542382. Its totient is φ = 513323003542380.

The previous prime is 513323003542333. The next prime is 513323003542403. The reversal of 513323003542381 is 183245300323315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330624798314281 + 182698205228100 = 18183091^2 + 13516590^2 .

It is a cyclic number.

It is not a de Polignac number, because 513323003542381 - 2²¹ = 513323001445229 is a prime.

It is a super-2 number, since 2×513323003542381² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513323003582381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256661501771190 + 256661501771191.

It is an arithmetic number, because the mean of its divisors is an integer number (256661501771191).

Almost surely, 2^{513323003542381} is an apocalyptic number.

It is an amenable number.

513323003542381 is a deficient number, since it is larger than the sum of its proper divisors (1).

513323003542381 is an equidigital number, since it uses as much as digits as its factorization.

513323003542381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 43.

Adding to 513323003542381 its reverse (183245300323315), we get a palindrome (696568303865696).

The spelling of 513323003542381 in words is "five hundred thirteen trillion, three hundred twenty-three billion, three million, five hundred forty-two thousand, three hundred eighty-one".