512834545438215 has 96 divisors (see below), whose sum is σ = 1110043903922688. Its totient is φ = 196731733651200.

The previous prime is 512834545438157. The next prime is 512834545438231.

512834545438215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512834545438215 - 2¹³ = 512834545430023 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1552326421 + ... + 1552656750.

It is an arithmetic number, because the mean of its divisors is an integer number (11562957332528).

Almost surely, 2^{512834545438215} is an apocalyptic number.

512834545438215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

512834545438215 is an abundant number, since it is smaller than the sum of its proper divisors (597209358484473).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512834545438215 is a wasteful number, since it uses less digits than its factorization.

512834545438215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104983221 (or 3104983210 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 60.

The spelling of 512834545438215 in words is "five hundred twelve trillion, eight hundred thirty-four billion, five hundred forty-five million, four hundred thirty-eight thousand, two hundred fifteen".