512513120505353 has 32 divisors (see below), whose sum is σ = 561283361169408. Its totient is φ = 464108213448000.

The previous prime is 512513120505349. The next prime is 512513120505359. The reversal of 512513120505353 is 353505021315215.

It is not a de Polignac number, because 512513120505353 - 2² = 512513120505349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 512513120505353.

It is not an unprimeable number, because it can be changed into a prime (512513120505359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32956915928 + ... + 32956931478.

It is an arithmetic number, because the mean of its divisors is an integer number (17540105036544).

Almost surely, 2^{512513120505353} is an apocalyptic number.

It is an amenable number.

512513120505353 is a deficient number, since it is larger than the sum of its proper divisors (48770240664055).

512513120505353 is a wasteful number, since it uses less digits than its factorization.

512513120505353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22253.

The product of its (nonzero) digits is 337500, while the sum is 41.

The spelling of 512513120505353 in words is "five hundred twelve trillion, five hundred thirteen billion, one hundred twenty million, five hundred five thousand, three hundred fifty-three".