516982646289615 has 64 divisors (see below), whose sum is σ = 926128229921280. Its totient is φ = 244142735063040.

The previous prime is 516982646289607. The next prime is 516982646289721.

516982646289615 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 516982646289615 - 2³ = 516982646289607 is a prime.

It is a super-2 number, since 2×516982646289615² (a number of 30 digits) contains 22 as substring.

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, 261738574 + ... + 263706363.

It is an arithmetic number, because the mean of its divisors is an integer number (14470753592520).

Almost surely, 2^{516982646289615} is an apocalyptic number.

516982646289615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516982646289615 is a deficient number, since it is larger than the sum of its proper divisors (409145583631665).

516982646289615 is a wasteful number, since it uses less digits than its factorization.

516982646289615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525445112.

The product of its digits is 2687385600, while the sum is 78.

The spelling of 516982646289615 in words is "five hundred sixteen trillion, nine hundred eighty-two billion, six hundred forty-six million, two hundred eighty-nine thousand, six hundred fifteen".