513454202454331 has 2 divisors, whose sum is σ = 513454202454332. Its totient is φ = 513454202454330.

The previous prime is 513454202454253. The next prime is 513454202454337. The reversal of 513454202454331 is 133454202454315.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513454202454331 is a prime.

It is a super-2 number, since 2×513454202454331² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513454202454337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256727101227165 + 256727101227166.

It is an arithmetic number, because the mean of its divisors is an integer number (256727101227166).

Almost surely, 2^{513454202454331} is an apocalyptic number.

513454202454331 is a deficient number, since it is larger than the sum of its proper divisors (1).

513454202454331 is an equidigital number, since it uses as much as digits as its factorization.

513454202454331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456000, while the sum is 46.

The spelling of 513454202454331 in words is "five hundred thirteen trillion, four hundred fifty-four billion, two hundred two million, four hundred fifty-four thousand, three hundred thirty-one".