513442520332221 has 16 divisors (see below), whose sum is σ = 724860636130944. Its totient is φ = 322159742790144.

The previous prime is 513442520332199. The next prime is 513442520332229. The reversal of 513442520332221 is 122233025244315.

It is not a de Polignac number, because 513442520332221 - 2³³ = 513433930397629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513442520332221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513442520332229) 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 in 15 ways as a sum of consecutive naturals, for example, 69872905 + ... + 76870721.

It is an arithmetic number, because the mean of its divisors is an integer number (45303789758184).

Almost surely, 2^{513442520332221} is an apocalyptic number.

513442520332221 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513442520332221 is a deficient number, since it is larger than the sum of its proper divisors (211418115798723).

513442520332221 is a wasteful number, since it uses less digits than its factorization.

513442520332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436500.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 513442520332221 its reverse (122233025244315), we get a palindrome (635675545576536).

The spelling of 513442520332221 in words is "five hundred thirteen trillion, four hundred forty-two billion, five hundred twenty million, three hundred thirty-two thousand, two hundred twenty-one".