513523541321983 has 2 divisors, whose sum is σ = 513523541321984. Its totient is φ = 513523541321982.

The previous prime is 513523541321977. The next prime is 513523541322019. The reversal of 513523541321983 is 389123145325315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513523541321983 - 2⁹ = 513523541321471 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513523541321953) 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, 256761770660991 + 256761770660992.

It is an arithmetic number, because the mean of its divisors is an integer number (256761770660992).

Almost surely, 2^{513523541321983} is an apocalyptic number.

513523541321983 is a deficient number, since it is larger than the sum of its proper divisors (1).

513523541321983 is an equidigital number, since it uses as much as digits as its factorization.

513523541321983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664000, while the sum is 55.

The spelling of 513523541321983 in words is "five hundred thirteen trillion, five hundred twenty-three billion, five hundred forty-one million, three hundred twenty-one thousand, nine hundred eighty-three".