512162060261215 has 64 divisors (see below), whose sum is σ = 808119870243840. Its totient is φ = 302535631411200.

The previous prime is 512162060261179. The next prime is 512162060261231.

512162060261215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512162060261215 - 2⁷ = 512162060261087 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 441538186 + ... + 442696615.

It is an arithmetic number, because the mean of its divisors is an integer number (12626872972560).

Almost surely, 2^{512162060261215} is an apocalyptic number.

512162060261215 is a deficient number, since it is larger than the sum of its proper divisors (295957809982625).

512162060261215 is a wasteful number, since it uses less digits than its factorization.

512162060261215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884234912.

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 512162060261215 in words is "five hundred twelve trillion, one hundred sixty-two billion, sixty million, two hundred sixty-one thousand, two hundred fifteen".